{"id":258166,"date":"2023-06-02T09:00:00","date_gmt":"2023-06-02T07:00:00","guid":{"rendered":"https:\/\/sherpas.com\/blog\/?p=258166"},"modified":"2025-01-08T20:59:05","modified_gmt":"2025-01-08T19:59:05","slug":"tetraedre-geometrie","status":"publish","type":"post","link":"https:\/\/sherpas.com\/blog\/tetraedre-geometrie\/","title":{"rendered":"G\u00e9om\u00e9trie : le t\u00e9tra\u00e8dre, d\u00e9finition et formules \ud83d\udd3a"},"content":{"rendered":"\n<p>Aaaah la g\u00e9om\u00e9trie, cette mati\u00e8re terrifiante, mais utile dans \u00e9norm\u00e9ment de domaines comme l\u2019architecture, la construction, l\u2019a\u00e9ronautique ou encore l\u2019astronomie. Aujourd\u2019hui, on va te parler d\u2019un des <strong>solides<\/strong> phares de la g\u00e9om\u00e9trie : <strong>la pyramide<\/strong> et encore plus pr\u00e9cis\u00e9ment,<strong> le t\u00e9tra\u00e8dre<\/strong> !&nbsp;<\/p>\n\n\n\n<p>Alors si tu as comme projet de reconstruire les pyramides d\u2019\u00c9gypte (ou plus simplement de r\u00e9ussir ton contr\u00f4le de maths \ud83d\ude05), tu es au bon endroit !&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"quest-ce-quun-tetraedre\">Qu\u2019est-ce qu\u2019un t\u00e9tra\u00e8dre ?&nbsp;<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"definition\">D\u00e9finition&nbsp;<\/h3>\n\n\n\n<p>Pour d\u00e9finir un t\u00e9tra\u00e8dre, il faut d\u2019abord bien comprendre ce qu\u2019est une pyramide \ud83d\udc47<\/p>\n\n\n\n<p><strong>Une pyramide<\/strong> est un solide caract\u00e9ris\u00e9 par deux choses :&nbsp;<\/p>\n\n\n\n<p>\ud83d\udccc Une face polygonale (qui a plusieurs angles et plusieurs c\u00f4t\u00e9s) qu\u2019on nomme <strong>\u201cbase\u201d.<\/strong><\/p>\n\n\n\n<p>\ud83d\udccc Les autres faces sont, elles, triangulaires, et se rejoignent en un point nomm\u00e9 <strong>\u201csommet\u201d<\/strong>.&nbsp;&nbsp;<\/p>\n\n\n\n<p>Maintenant, on peut revenir \u00e0 notre t\u00e9tra\u00e8dre : il s\u2019agit donc d\u2019une pyramide, mais avec la particularit\u00e9 d\u2019avoir comme base <strong><a href=\"https:\/\/sherpas.com\/blog\/comprendre-le-theoreme-de-pythagore\/\">un triangle<\/a><\/strong> ! Toutes les faces de ce solide sont donc triangulaires, contrairement \u00e0 des pyramides qui peuvent avoir comme base un carr\u00e9, un rectangle, un losange, etc.&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><section class=\"you-know\">\n                <div class=\"you-know__title\"><p>Caract\u00e9ristiques<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><span style=\"font-weight: 400\">\ud83d\udc49 4 faces triangulaires<\/span><\/p>\n<p><span style=\"font-weight: 400\">\ud83d\udc49 6 ar\u00eates\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">\ud83d\udc49 4 sommets<\/span><\/p>\n\n        <\/div>\n              <\/section>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><\/div>\n<\/div>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p><span style=\"font-weight: 400\">\ud83d\udca1 <\/span>Le savais-tu ?<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p>\u201cT\u00e9tra\u201d signifie \u201cquatre\u201d en latin et \u201cedre\u201d vient du mot \u201cedra\u201d en grec ancien qui signifie \u201cface\u201d\u202f! Petit moyen mn\u00e9motechnique, pour retenir que dans un t\u00e9tra\u00e8dre il y a forc\u00e9ment quatre faces \ud83d\ude09<\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"le-tetraedre-regulier\">Le t\u00e9tra\u00e8dre r\u00e9gulier<\/h2>\n\n\n\n<p>Un <strong>t\u00e9tra\u00e8dre r\u00e9gulier<\/strong> est un t\u00e9tra\u00e8dre poss\u00e9dant <strong>quatre faces identiques<\/strong>, c&rsquo;est-\u00e0-dire quatre triangles isoc\u00e8les et \u00e9gaux.&nbsp;<\/p>\n\n\n\n<p>De ce fait, on en d\u00e9duit des caract\u00e9ristiques sp\u00e9cifiques sur les angles de celui-ci \ud83d\udc47<\/p>\n\n\n\n<p>\ud83d\udc49 Les faces adjacentes forment obligatoirement <strong>des angles de 60 degr\u00e9s<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 Deux ar\u00eates avec une extr\u00e9mit\u00e9 en commun forment aussi u<strong>n angle de 60 degr\u00e9s&nbsp;<\/strong><\/p>\n\n\n\n<p>Pratique pour <a href=\"https:\/\/sherpas.com\/blog\/quelle-formule-trigonometrique-choisir\/\">la trigonom\u00e9trie !<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"les-formules-a-connaitre\">Les formules \u00e0 conna\u00eetre<\/h2>\n\n\n\n<p>Le calcul de <strong>l\u2019aire<\/strong> et <strong>du volume <\/strong>d\u2019un t\u00e9tra\u00e8dre va surtout d\u00e9pendre de s&rsquo;il est r\u00e9gulier ou non. Pas de panique, on te montre plusieurs formules selon les diff\u00e9rentes situations \ud83d\udc47<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"comment-calculer-laire-dun-tetraedre\">Comment calculer l\u2019aire d\u2019un t\u00e9tra\u00e8dre<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"tetraedre-classique\">T\u00e9tra\u00e8dre classique&nbsp;<\/h4>\n\n\n\n<p>Le t\u00e9tra\u00e8dre \u00e9tant un solide avec plusieurs faces triangulaires, il te suffit de calculer l\u2019aire de chacune de ses faces triangulaires et de <strong>les additionner<\/strong> ensuite \ud83d\udc47<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p><span style=\"font-weight: 400\">\ud83d\udca1 <\/span>Rappel : Calculer l\u2019aire d\u2019un triangle<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><!-- wp:paragraph --><\/p>\n<p>\ud83d\udccc Pour calculer l\u2019aire d\u2019un triangle, la formule est : (base x hauteur) \/ 2<\/p>\n<p><!-- \/wp:paragraph --> <!-- wp:paragraph --><\/p>\n<p>\ud83d\udccc Une aire est toujours exprim\u00e9e en cm carr\u00e9<\/p>\n<p><!-- \/wp:paragraph --><\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"512\" height=\"338\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png\" alt=\"\" class=\"wp-image-258336\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=189 189w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=396 396w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/triangle-ABC-1.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>On a par exemple <a href=\"https:\/\/sherpas.com\/blog\/theoreme-de-thales-reciproque\/\">un triangle<\/a> <strong>ABC<\/strong> avec :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fc573f422d709711cdee31d0ea411c7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#32;&#61;&#32;&#54;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"152\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-1635210804dcb0540896c2bed3b2fecf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#97;&#115;&#101;&#32;&#66;&#67;&#32;&#61;&#32;&#53;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"124\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>L\u2019aire du triangle <strong>ABC<\/strong> est donc \u00e9gale \u00e0<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-86934b3b67c5bde91d556100a12df7c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#54;&#125;&#123;&#50;&#125;&#61;&#49;&#53;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"99\" style=\"vertical-align: -6px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<p>La hauteur est <strong>relative <\/strong>au c\u00f4t\u00e9 que tu choisis comme base. Si on avait choisi <strong>AB<\/strong> comme base, sa hauteur relative aurait donc \u00e9t\u00e9 <strong>BC<\/strong>.&nbsp;<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p><span style=\"font-weight: 400\">\ud83d\udca1 Pour info\u00a0<\/span><\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><span style=\"font-weight: 400\">La hauteur est le segment perpendiculaire \u00e0 la base reliant un sommet. Dans le cas d\u2019un triangle rectangle en B, la hauteur peut \u00eatre BC ou AB selon la base que tu choisis \ud83d\ude09<\/span><\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<p>\ud83d\udc49 Maintenant que tu sais calculer l\u2019aire d\u2019un triangle, il nous suffit d\u2019additionner l\u2019aire de chacun des triangles composant un t\u00e9tra\u00e8dre.<\/p>\n\n\n\n<p>Calculons l&rsquo;aire du t\u00e9tra\u00e8dre quelconque <strong>ABCD <\/strong>\u00e0 l&rsquo;aide de son patron.\ud83d\udc47<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"343\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png\" alt=\"\" class=\"wp-image-258340\" style=\"width:493px;height:330px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=187 187w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=396 396w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-quelconque-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=378 378w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>On a : <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fc0b4d62ced887489df83bd0ba8fa0ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#68;&#32;&#61;&#32;&#53;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"167\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-137db2bc5842aee389079360661ad26b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#67;&#68;&#32;&#61;&#32;&#51;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"167\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5ad51edf3276cd1954850b38c6902258_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#67;&#66;&#68;&#32;&#61;&#32;&#52;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"168\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0dc0c44e0559f55b3bcc22612a2bd11a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#51;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"166\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-66267ac73a311f7f4ee6903e02a1d478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#32;&#61;&#32;&#50;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"83\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-221c9c1d0a0970864fa220abaed70efc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#66;&#32;&#61;&#32;&#51;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"84\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-a706f7fc5d61c5fd02011941a7b7defd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#67;&#32;&#61;&#32;&#53;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"83\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Alors :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0a1d56ca96528c3999491d669290a2be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#53;&#125;&#123;&#50;&#125;&#61;&#53;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"195\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-07a76d6a4e3c0d7aed75abb3fa869be0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#67;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#51;&#125;&#123;&#50;&#125;&#61;&#55;&#44;&#53;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"211\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8e3b9b9c04044f770f0f022de339ff7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#67;&#66;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#52;&#125;&#123;&#50;&#125;&#61;&#54;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"195\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-110a17042a16e1f9100299f157635dc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#51;&#125;&#123;&#50;&#125;&#61;&#51;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"193\" style=\"vertical-align: -6px;\"\/><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Finalement, l\u2019aire du t\u00e9tra\u00e8dre <strong>ABCD<\/strong> est donc \u00e9gale \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7f4f110061d637d7b4c436368e4b9fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#68;&#43;&#65;&#105;&#114;&#101;&#65;&#67;&#68;&#43;&#65;&#105;&#114;&#101;&#67;&#66;&#68;&#43;&#65;&#105;&#114;&#101;&#65;&#66;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"399\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-bc992b500953c71403a2fdd9065b5ed8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#53;&#32;&#43;&#32;&#55;&#44;&#53;&#32;&#43;&#32;&#54;&#32;&#43;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"136\" style=\"vertical-align: -4px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8f702a8bc32c06e4c934fc7619645496_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#50;&#49;&#44;&#53;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -4px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"tetraedre-regulier\">T\u00e9tra\u00e8dre r\u00e9gulier&nbsp;<\/h4>\n\n\n\n<p>\ud83d\udc49 Dans le cas d\u2019un t\u00e9tra\u00e8dre r\u00e9gulier, toutes les faces sont des triangles \u00e9quilat\u00e9raux. Il suffit donc de calculer l\u2019aire d\u2019un seul triangle et de le<strong> multiplier par 4<\/strong> !&nbsp;<\/p>\n\n\n\n<p>Calculons l&rsquo;aire du t\u00e9tra\u00e8dre r\u00e9gulier<strong> ABCD<\/strong> avec chaque c\u00f4t\u00e9 (ar\u00eate) \u00e9gal \u00e0 8 cm et une hauteur de 6,93 cm.\ud83d\udc47<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"512\" height=\"464\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png\" alt=\"\" class=\"wp-image-258346\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=138 138w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=409 409w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-regulier-ABCD.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>On a :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-72e42f372472318893a92716e6e3760f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#44;&#57;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#56;&#125;&#123;&#50;&#125;&#61;&#50;&#55;&#44;&#55;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"237\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>On a donc :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6990e809a328e66547d421c0e406e9d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#123;&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#92;&#116;&#105;&#109;&#101;&#115;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"225\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ce30449f9e09c7d647ef6dd1941a539c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#123;&#50;&#55;&#44;&#55;&#92;&#116;&#105;&#109;&#101;&#115;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"182\" style=\"vertical-align: -4px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-54e4624253ccd3e2a732a0a38bf85d11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#49;&#49;&#48;&#46;&#57;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"188\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<p><br>Et si je te disais qu\u2019il existe une formule beaucoup plus simple dans le cas d\u2019un t\u00e9tra\u00e8dre r\u00e9gulier \ud83d\ude05. <\/p>\n\n\n\n<p>Eh oui, sinon il te suffit d\u2019utiliser la formule suivante :\ud83d\udc47<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-14eb7ac439f38518814ce83e54fe479d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#97;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"178\" style=\"vertical-align: -2px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3f29419cbf1be920a1f689d6b2ad7854_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#118;&#101;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-11a8b5078aa7548fb25e996ff99d2fbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d6fa1437ce8a81dba013c790c791dc1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#111;&#110;&#103;&#117;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"70\" style=\"vertical-align: -4px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6b584f5da71c98bf1e755130441a0b1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#39;&#117;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0b6cc0a2d00fe6ca805c7e3284f52c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&ocirc;&#116;&eacute;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"30\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-12809e343789acf53132e4ee935bfa49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#114;&ecirc;&#116;&#101;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-44b433a55506c67cefa4583e6e2c6e3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#56;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"178\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-54e4624253ccd3e2a732a0a38bf85d11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#49;&#49;&#48;&#46;&#57;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"188\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p style=\"padding-left: 40px\"><span style=\"font-weight: 400\">\ud83d\udca1 Pour info\u00a0<\/span><\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><span style=\"font-weight: 400\">Cette formule te permet d\u2019\u00eatre beaucoup plus pr\u00e9cis et surtout de ne pas avoir besoin de la hauteur !<\/span><\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"comment-calculer-le-volume-dun-tetraedre\">Comment calculer le volume d\u2019un t\u00e9tra\u00e8dre<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"tetraedre-classique\">T\u00e9tra\u00e8dre classique&nbsp;<\/h4>\n\n\n\n<p>\ud83d\udc49 Le t\u00e9tra\u00e8dre \u00e9tant une pyramide, le calcul de son volume est similaire \u00e0 celui des autres pyramides !&nbsp;<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p><span style=\"font-weight: 400\">\ud83d\udca1 <\/span>Rappel : C<span style=\"font-weight: 400\">alculer le volume d\u2019une pyramide<\/span><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><!-- wp:paragraph --><\/p>\n<p><span style=\"font-weight: 400\">\ud83d\udccc Pour calculer le volume d\u2019une pyramide, la formule est : (Aire base x hauteur de la pyramide) \/ 3<\/span><\/p>\n<p><span style=\"font-weight: 400\">\ud83d\udccc Un volume est toujours exprim\u00e9 en cm cube <\/span><\/p>\n<p><!-- \/wp:paragraph --><\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<p>Calculons le volume du t\u00e9tra\u00e8dre <strong>ABCS<\/strong> \ud83d\udc47<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"512\" height=\"422\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png\" alt=\"\" class=\"wp-image-258349\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=152 152w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=330 330w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=450 450w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Tetraedre-ABC-Volume.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Calculons l\u2019aire de la base <strong>ABC <\/strong>:<\/p>\n\n\n\n<p>Hauteur BO = 2,90 cm <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3fda146a36abe82222c2af7be8ec1b0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#32;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#50;&#44;&#57;&#48;&#125;&#123;&#50;&#125;&#61;&#53;&#44;&#56;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"204\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>Calculons le volume <strong>ABCS<\/strong> :<\/p>\n\n\n\n<p> Hauteur HS = 8<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-73e884ba073e73365c1e4e23c5d83728_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#83;&#32;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#44;&#56;&#92;&#116;&#105;&#109;&#101;&#115;&#56;&#125;&#123;&#51;&#125;&#61;&#49;&#53;&#44;&#53;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"244\" style=\"vertical-align: -6px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p><span style=\"font-weight: 400\">\ud83d\udca1 Pour info\u00a0<\/span><\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><span style=\"font-weight: 400\">La hauteur d\u2019une pyramide est le segment reliant le centre de la base au sommet de la pyramide (dans ce cas, c&rsquo;est HS). <\/span><\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"tetraedre-regulier\">T\u00e9tra\u00e8dre r\u00e9gulier<\/h4>\n\n\n\n<p>\ud83d\udc49 Comme pour celui de l\u2019aire, le calcul du volume d\u2019un t\u00e9tra\u00e8dre r\u00e9gulier est bien plus simple. Il suffit de conna\u00eetre la longueur d\u2019un des c\u00f4t\u00e9s (ar\u00eates).<\/p>\n\n\n\n<p>La formule est la suivante : \ud83d\udc47<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d5b331b27e83f57097f29731e0e72202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#125;&#123;&#49;&#50;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#97;&#94;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"159\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>Calculons le volume du t\u00e9tra\u00e8dre r\u00e9gulier <strong>ABCD<\/strong> \ud83d\udc47<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"512\" height=\"428\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png\" alt=\"\" class=\"wp-image-258388\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=150 150w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=325 325w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=444 444w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tretraedre-regulier-volu.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>On a :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-1272d85b19a67ee62b9ff0a43f6dc3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#53;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"65\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>Donc : <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-1b4b1963d994f474c568347c2a28763b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#125;&#123;&#49;&#50;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#53;&#94;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"216\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b80fce98174c208c80a841da90d55bf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#32;&#49;&#52;&#44;&#55;&#51;&#32;&#99;&#109;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"217\" style=\"vertical-align: -4px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"recap-des-formules\">R\u00e9cap des formules :&nbsp;<\/h3>\n\n\n\n<p>On te fait un petit r\u00e9cap des formules que tu viens de voir \ud83d\udc47<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"calcul-de-laire\">Calcul de l\u2019aire :&nbsp;<\/h4>\n\n\n\n<p>\ud83d\udccc Triangle : <\/p>\n\n\n\n\n\n<img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5433585fea25805a7ab0c29a0e05ae07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#98;&#97;&#115;&#101;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#104;&#97;&#117;&#116;&#101;&#117;&#114;&#125;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"86\" style=\"vertical-align: -6px;\"\/>\n\n\n\n<p>\ud83d\udccc T\u00e9tra\u00e8dre : <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0a420bbe1255d45ea687c0c276fd8136_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6570f18b1d6a76e5d834357c4ab96e7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#83;&#111;&#109;&#109;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-61b485a5b78da250466b147241b852be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-f11d83b5e2853aa9a8725d523c603ca2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#39;&#97;&#105;&#114;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"42\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-14d9c98af4f494f57845460b73a2f1bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#101;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"25\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6111a899fd636b7a5238708f8679f6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-61b14c6d58a088a799fd1e0e27f65b93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#97;&#99;&#101;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"44\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p>\ud83d\udccc T\u00e9tra\u00e8dre r\u00e9gulier :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b25fc52f2b610bcf0942abb5cdb17934_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#123;&#65;&#105;&#114;&#101;&#32;&#100;&#39;&#117;&#110;&#101;&#32;&#102;&#97;&#99;&#101;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -5px;\"\/><\/p>\n<p> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-c04211da4bcdfb6da984043de5de371c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#97;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"60\" style=\"vertical-align: -2px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3f29419cbf1be920a1f689d6b2ad7854_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#118;&#101;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-11a8b5078aa7548fb25e996ff99d2fbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d6fa1437ce8a81dba013c790c791dc1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#111;&#110;&#103;&#117;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"70\" style=\"vertical-align: -4px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6b584f5da71c98bf1e755130441a0b1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#39;&#117;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0b6cc0a2d00fe6ca805c7e3284f52c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&ocirc;&#116;&eacute;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"30\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-12809e343789acf53132e4ee935bfa49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#114;&ecirc;&#116;&#101;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"calcul-du-volume\">Calcul du volume :&nbsp;<\/h4>\n\n\n\n<p>\ud83d\udccc T\u00e9tra\u00e8dre classique ou pyramide : <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-382348806069fece198955a15cbb107d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#123;&#97;&#105;&#114;&#101;&#32;&#100;&#101;&#32;&#108;&#97;&#32;&#98;&#97;&#115;&#101;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#104;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#100;&#101;&#32;&#108;&#97;&#32;&#112;&#121;&#114;&#97;&#109;&#105;&#100;&#101;&#125;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"220\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>\ud83d\udccc T\u00e9tra\u00e8dre r\u00e9gulier :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d5b331b27e83f57097f29731e0e72202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#125;&#123;&#49;&#50;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#97;&#94;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"159\" style=\"vertical-align: -6px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3f29419cbf1be920a1f689d6b2ad7854_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#118;&#101;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-11a8b5078aa7548fb25e996ff99d2fbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d6fa1437ce8a81dba013c790c791dc1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#111;&#110;&#103;&#117;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"70\" style=\"vertical-align: -4px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6b584f5da71c98bf1e755130441a0b1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#39;&#117;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"35\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0b6cc0a2d00fe6ca805c7e3284f52c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&ocirc;&#116;&eacute;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"30\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-12809e343789acf53132e4ee935bfa49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#114;&ecirc;&#116;&#101;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-382348806069fece198955a15cbb107d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#123;&#97;&#105;&#114;&#101;&#32;&#100;&#101;&#32;&#108;&#97;&#32;&#98;&#97;&#115;&#101;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#104;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#100;&#101;&#32;&#108;&#97;&#32;&#112;&#121;&#114;&#97;&#109;&#105;&#100;&#101;&#125;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"220\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"exercices-pratiques\">Exercices pratiques<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"calcul-de-laire-dun-triangle\">Calcul de l\u2019aire d\u2019un triangle&nbsp;<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-1-determine-laire-du-triangle-abc-rectangle-en-b\">Exercice 1 : D\u00e9termine l\u2019aire du triangle ABC, rectangle en B !&nbsp;<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"363\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png\" alt=\"D\u00e9termine l\u2019aire du triangle ABC, rectangle en B ! \" class=\"wp-image-258355\" style=\"width:440px;height:312px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=176 176w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=384 384w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Exercice-1-Triangle-Aire-.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :&nbsp;<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 On a un triangle ABC rectangle en B :&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-d360948011713e7232411612016bff4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#32;&#32;&#61;&#32;&#53;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"152\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-466fd89cd8d35379b0f3816be71469d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#97;&#115;&#101;&#32;&#66;&#67;&#32;&#61;&#32;&#55;&#32;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"124\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<p>\ud83d\udc49 L\u2019aire du triangle ABC est donc \u00e9gale \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-2024ff4b32a8070f86666e4beb2bc3bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#65;&#66;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#66;&#67;&#125;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"54\" style=\"vertical-align: -6px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5fbf8d9696517f376629604aebc2634c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#55;&#125;&#123;&#50;&#125;&#61;&#49;&#55;&#44;&#53;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"136\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-2-determine-laire-de-ce-triangle-isocele-en-b\">Exercice 2 : D\u00e9termine l\u2019aire de ce triangle isoc\u00e8le en B&nbsp;<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"500\" height=\"404\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png\" alt=\"D\u00e9termine l\u2019aire de ce triangle isoc\u00e8le en B\u00a0\" class=\"wp-image-258372\" style=\"width:402px;height:325px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=500 500w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=155 155w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=337 337w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=459 459w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Triangle-isocele-exercice-2.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :&nbsp;<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 On a un triangle ABC isoc\u00e8le en B :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fc573f422d709711cdee31d0ea411c7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#32;&#61;&#32;&#54;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"152\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e63cde7fbdf2b6a55243fb06e1c6f58e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#97;&#115;&#101;&#32;&#66;&#67;&#32;&#61;&#32;&#57;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"124\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 L\u2019aire du triangle ABC est donc \u00e9gale \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-2024ff4b32a8070f86666e4beb2bc3bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#65;&#66;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#66;&#67;&#125;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"54\" style=\"vertical-align: -6px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-93b8e38a8e082d6be5a5bda771c12576_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#57;&#125;&#123;&#50;&#125;&#61;&#32;&#50;&#55;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"120\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"calcul-de-laire-dun-tetraedre\">Calcul de l\u2019aire d\u2019un t\u00e9tra\u00e8dre&nbsp;<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-1-determine-laire-de-ce-tetraedre-abcd\">Exercice 1 : D\u00e9termine l\u2019aire de ce t\u00e9tra\u00e8dre ABCD&nbsp;<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"443\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png\" alt=\"\" class=\"wp-image-258374\" style=\"width:372px;height:322px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=144 144w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=314 314w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=429 429w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-3.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 On a un t\u00e9tra\u00e8dre ABCD <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fed21bccd5c11ec6132f17d28d246ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#68;&#32;&#61;&#32;&#55;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"167\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-04dbea9bb132a3cb90485d165ce7d36d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#67;&#68;&#32;&#61;&#32;&#54;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"167\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0fc99520dea1a931a39c73fd130c6a01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#67;&#66;&#68;&#32;&#61;&#32;&#56;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"168\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0dc0c44e0559f55b3bcc22612a2bd11a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#51;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"166\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0094c12426d9b012e56fd17bc7e72e4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#32;&#61;&#32;&#52;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"83\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-221c9c1d0a0970864fa220abaed70efc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#66;&#32;&#61;&#32;&#51;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"84\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-f1d94c029768c7eedd9bc536602111d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#67;&#32;&#61;&#32;&#50;&#50;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"92\" style=\"vertical-align: 0px;\"\/><\/p>\n<\/div>\n<\/div>\n\n\n\n<p>\ud83d\udc49 Calculons l&rsquo;aire de chacune des faces :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-aa533a768ade77e41a23a6457b1b5865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#53;&#125;&#123;&#50;&#125;&#61;&#49;&#52;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"204\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b46f9d68496ed6cd27c8a69aad741b1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#67;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#51;&#125;&#123;&#50;&#125;&#61;&#54;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"194\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-a6eb2d0243c78c3ec57dd84b07d24d8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#67;&#66;&#68;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#52;&#125;&#123;&#50;&#125;&#61;&#49;&#50;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"204\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ace906c7f8b6f3010b405103cd1f6de0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#51;&#125;&#123;&#50;&#125;&#61;&#54;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"193\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 L&rsquo;\u2019aire du t\u00e9tra\u00e8dre ABCD est donc \u00e9gale \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7f4f110061d637d7b4c436368e4b9fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#68;&#43;&#65;&#105;&#114;&#101;&#65;&#67;&#68;&#43;&#65;&#105;&#114;&#101;&#67;&#66;&#68;&#43;&#65;&#105;&#114;&#101;&#65;&#66;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"399\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e4731064b1b88c6f939e7a0a93268a4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#49;&#52;&#32;&#43;&#32;&#54;&#32;&#43;&#32;&#49;&#50;&#32;&#43;&#32;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"137\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-477ebefcaf9de5dd9e4b3fa2b02885e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#51;&#56;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"68\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-2-determine-laire-de-ce-tetraedre-regulier-abcd\">Exercice 2 : D\u00e9termine l\u2019aire de ce t\u00e9tra\u00e8dre r\u00e9gulier ABCD&nbsp;<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"476\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png\" alt=\"\" class=\"wp-image-258378\" style=\"width:338px;height:314px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=134 134w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=293 293w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=399 399w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/exercice-4-tetraedre-aire.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :<\/strong> <\/p>\n\n\n\n<p>\ud83d\udc49 On a un t\u00e9tra\u00e8dre r\u00e9gulier ABCD &nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-9f91ef05e0a22d2579d14107bf6f19e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"68\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-61b485a5b78da250466b147241b852be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-11a8b5078aa7548fb25e996ff99d2fbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-33ca871e5f0a546fe2a60d56c961315a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#97;&#115;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"33\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-01ef597157b5450729553432d1ac6940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7571afea00f8822a8620e2b0c45d33cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#32;&#53;&#44;&#50;&#48;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"76\" style=\"vertical-align: -4px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-04dbea9bb132a3cb90485d165ce7d36d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;&#32;&#65;&#67;&#68;&#32;&#61;&#32;&#54;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"167\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 Calculons l&rsquo;aire ABC :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7ffb9fe3dc69a7563bfc3c75b81c7d7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#53;&#44;&#50;&#125;&#123;&#50;&#125;&#61;&#49;&#53;&#44;&#54;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"230\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 L&rsquo;aire ABCD est donc \u00e9gale \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7c0c7a36ce409b1dea21ae0e4d30865e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#49;&#53;&#44;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#52;&#125;&#61;&#54;&#50;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"254\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 On peut aussi utiliser la formule plus simple :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3e7272d321475c62beff2bf8014c736a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#54;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"178\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-82f1e5a3b51235d8ceb83040565fffb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#54;&#50;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"165\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"calcul-du-volume-dun-tetraedre\">Calcul du volume d\u2019un t\u00e9tra\u00e8dre<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-1-determine-le-volume-de-ce-tetraedre-abcs\">Exercice 1 : D\u00e9termine le volume de ce t\u00e9tra\u00e8dre ABCS<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"454\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png\" alt=\"\" class=\"wp-image-258385\" style=\"width:400px;height:355px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=141 141w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=307 307w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=418 418w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-5.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :<\/strong> <\/p>\n\n\n\n<p>\ud83d\udc49 On a un t\u00e9tra\u00e8dre ABCS <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-9f91ef05e0a22d2579d14107bf6f19e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"68\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-61b485a5b78da250466b147241b852be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-11a8b5078aa7548fb25e996ff99d2fbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#108;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-33ca871e5f0a546fe2a60d56c961315a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#97;&#115;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"33\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-01ef597157b5450729553432d1ac6940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3c10690061078eb296ab85bad3413467_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#32;&#54;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-9f91ef05e0a22d2579d14107bf6f19e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#97;&#117;&#116;&#101;&#117;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"68\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-2cb2ecf9b534a5e017a048d9618f26ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e7a587f78982e7c5ccfddd1696567264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&eacute;&#116;&#114;&#97;&egrave;&#100;&#114;&#101;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"73\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-c798163be32dab42b1ed0644742a3960_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#67;&#83;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"54\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-285c5280d9a99c1c25d48769ba054bbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#32;&#57;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8bbbd504fe16980362b1e6c2a3188e39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#67;&#32;&#61;&#32;&#55;&#32;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"83\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 Calculons l&rsquo;aire ABC<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0df811c9b3ef9439dd39776601b34b57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#105;&#114;&#101;&#32;&#65;&#66;&#67;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#92;&#116;&#105;&#109;&#101;&#115;&#54;&#125;&#123;&#50;&#125;&#61;&#50;&#49;&#32;&#99;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"202\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 Le volume ABCS est donc \u00e9gal \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-99d343da3a0b5a2edd35e22cfd17b56f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#83;&#32;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#49;&#92;&#116;&#105;&#109;&#101;&#115;&#57;&#125;&#123;&#51;&#125;&#61;&#54;&#50;&#99;&#109;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"247\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"exercice-2-determine-le-volume-de-ce-tetraedre-regulier-abcd\">Exercice 2 : D\u00e9termine le volume de ce t\u00e9tra\u00e8dre r\u00e9gulier ABCD<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"512\" height=\"420\" src=\"https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png\" alt=\"\" class=\"wp-image-258386\" style=\"width:436px;height:358px\" srcset=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=512 512w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=300 300w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=152 152w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=332 332w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=288 288w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=452 452w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=265 265w, https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/blog\/content\/uploads\/2023\/05\/tetraedre-exercice-6.png?q=85&amp;force_format=webp&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n<\/div>\n\n\n<p><strong>Correction :<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 On a un t\u00e9tra\u00e8dre r\u00e9gulier ABCD <\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-867a41266d465b5e5c5474a64ad70a61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#51;&#99;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<p>\ud83d\udc49 Le volume du t\u00e9tra\u00e8dre ABCD est donc \u00e9gal \u00e0 :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-f121bb7d50e48ff024a0d0af967fc054_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#125;&#123;&#49;&#50;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#51;&#94;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"216\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8d06ff1c90f6b645d1a40937045c9004_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#111;&#108;&#117;&#109;&#101;&#32;&#65;&#66;&#67;&#68;&#61;&#32;&#51;&#44;&#50;&#32;&#99;&#109;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p>Voil\u00e0, maintenant, tu sais tout le t\u00e9tra\u00e8dre et ses formules ! Retrouve nos autres <a href=\"https:\/\/sherpas.com\/blog\/apprendre-matiere\/maths\/\">fiches de cours de maths<\/a> et <a href=\"https:\/\/sherpas.com\/cours\/maths\">n\u2019h\u00e9site pas \u00e0 contacter un Sherpas<\/a> si tu as besoin d\u2019aide ou que tu souhaites juste te perfectionner en maths !\u00a0<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;258166&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;12&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;4.1&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;Tu as aim\u00e9 cet article ?&quot;,&quot;legend&quot;:&quot;4.1\\\/5 - (12 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;G\u00e9om\u00e9trie : le t\u00e9tra\u00e8dre, d\u00e9finition et formules \ud83d\udd3a&quot;,&quot;width&quot;:&quot;116.4&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 116.4px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            4.1\/5 - (12 votes)    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Aaaah la g\u00e9om\u00e9trie, cette mati\u00e8re terrifiante, mais utile dans \u00e9norm\u00e9ment de domaines comme l\u2019architecture, la construction, l\u2019a\u00e9ronautique ou (&#8230;)<\/p>\n","protected":false},"author":326,"featured_media":258827,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"category":[803,810],"tag":[764,771],"class_list":["post-258166","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-apprendre-matiere","category-maths","tag-astronomie","tag-geometrie"],"acf":[],"_links":{"self":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/258166","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/users\/326"}],"replies":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/comments?post=258166"}],"version-history":[{"count":0,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/258166\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media\/258827"}],"wp:attachment":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media?parent=258166"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/category?post=258166"},{"taxonomy":"tag","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/tag?post=258166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}