{"id":2139,"date":"2026-02-05T04:27:57","date_gmt":"2026-02-05T04:27:57","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=2139"},"modified":"2026-03-05T09:48:25","modified_gmt":"2026-03-05T09:48:25","slug":"triangle-rectangle-ou-pas","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/02\/05\/triangle-rectangle-ou-pas\/","title":{"rendered":"Triangle rectangle ou pas ?"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 1 : Souvenir, souvenir&#8230;<\/strong><br><strong>La somme des angles d&rsquo;un triangle<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-default\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 2 : Un peu d&rsquo;histoire<\/strong><\/h2>\n\n\n\n<p>La corde \u00e9gyptienne<br>Le d\u00e9coupage du carr\u00e9 chinois<\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 3 : Un peu de logique<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 4 : La r\u00e9ciproque du<\/strong><br><strong>th\u00e9or\u00e8me de Pythagore<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 5 : La contrapos\u00e9e<\/strong><br><strong>du th\u00e9or\u00e8me de Pythagore<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 6 : Un programme scratch<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Mission 7 : Les probl\u00e8mes&#8230;<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 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%\">\n<p class=\"has-text-align-center\"><a href=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/03\/exercices-corriges-reciproque-theoreme-pythagore-1.pdf\">Fiche d&rsquo;exercice<\/a><\/p>\n\n\n\n<p class=\"has-text-align-center\">Correction<\/p>\n\n\n\n<p class=\"has-text-align-center\"><em>( Source : College Willy Ronis )<\/em><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"80\" height=\"82\" src=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/02\/image-6.png\" alt=\"\" class=\"wp-image-2190\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div data-wp-context=\"{ &quot;autoclose&quot;: false, &quot;accordionItems&quot;: [] }\" data-wp-interactive=\"core\/accordion\" role=\"group\" class=\"wp-block-accordion is-layout-flow wp-block-accordion-is-layout-flow\">\n<div data-wp-class--is-open=\"state.isOpen\" data-wp-context=\"{ &quot;id&quot;: &quot;accordion-item-2&quot;, &quot;openByDefault&quot;: false }\" data-wp-init=\"callbacks.initAccordionItems\" data-wp-on-window--hashchange=\"callbacks.hashChange\" class=\"wp-block-accordion-item is-layout-flow wp-block-accordion-item-is-layout-flow\">\n<h3 class=\"wp-block-accordion-heading\"><button aria-expanded=\"false\" aria-controls=\"accordion-item-2-panel\" data-wp-bind--aria-expanded=\"state.isOpen\" data-wp-on--click=\"actions.toggle\" data-wp-on--keydown=\"actions.handleKeyDown\" id=\"accordion-item-2\" type=\"button\" class=\"wp-block-accordion-heading__toggle\"><span class=\"wp-block-accordion-heading__toggle-title\">Correction<\/span><span class=\"wp-block-accordion-heading__toggle-icon\" aria-hidden=\"true\">+<\/span><\/button><\/h3>\n\n\n\n<div inert aria-labelledby=\"accordion-item-2\" data-wp-bind--inert=\"!state.isOpen\" id=\"accordion-item-2-panel\" role=\"region\" class=\"wp-block-accordion-panel is-layout-flow wp-block-accordion-panel-is-layout-flow\">\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 1<\/summary>\n<p><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 2<\/summary>\n<p><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 3<\/summary>\n<p><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 4<\/summary>\n<p>Pour le mur de Jacques :<\/p>\n\n\n\n<p>1 m = 100 cm<br>Dans le triangle H I S, [HS] est le plus grand c\u00f4t\u00e9.<br><\/p>\n\n\n\n<p>D&rsquo;une part<br>HS\u00b2 = 100\u00b2 = 10 000<br><\/p>\n\n\n\n<p>D&rsquo;autre part<br>H I\u00b2 + I S\u00b2 = 60\u00b2 + 80\u00b2 <br>                    = 3600 + 6400<br>                    = 10000<br><br>Je constate que HS\u00b2 = H I\u00b2 + I S\u00b2<br>L&rsquo;\u00e9galit\u00e9 de Pythagore est v\u00e9rifi\u00e9e<br>Donc d\u2019apr\u00e8s la r\u00e9ciproque du th\u00e9or\u00e8me de Pythagore,<br>Le triangle HIS est rectangle en I.<br>J&rsquo;en conclus que le mur de Jacques est droit car perpendiculaire au sol.<\/p>\n\n\n\n<p><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 1<\/summary>\n<p><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Exercice 1<\/summary>\n<p><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-dots\"\/>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-wide is-style-wide--3\"\/>\n","protected":false},"excerpt":{"rendered":"<p>Mission 1 : Souvenir, souvenir&#8230;La somme des angles d&rsquo;un triangle Mission 2 : Un peu d&rsquo;histoire La corde \u00e9gyptienneLe d\u00e9coupage du carr\u00e9 chinois Mission 3 : Un peu de logique Mission 4 : La r\u00e9ciproque duth\u00e9or\u00e8me de Pythagore Mission 5 : La contrapos\u00e9edu th\u00e9or\u00e8me de Pythagore Mission 6 : Un programme scratch Mission 7 : [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2139","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/2139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=2139"}],"version-history":[{"count":16,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/2139\/revisions"}],"predecessor-version":[{"id":2447,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/2139\/revisions\/2447"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=2139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=2139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=2139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}