{"id":23632,"date":"2022-12-10T17:05:06","date_gmt":"2022-12-10T17:05:06","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23632"},"modified":"2022-12-27T23:59:05","modified_gmt":"2022-12-27T23:59:05","slug":"um-triangulo-retangulo-isosceles","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23632","title":{"rendered":"Um tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23632' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23632' class='GTTabs_curr'><a  id=\"23632_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23632' ><a  id=\"23632_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_23632'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A hipotenusa de um tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles mede \\(\\sqrt {18} \\) cm.<\/p>\n<p>Os seus catetos podem medir:<\/p>\n<p><strong>[A]<\/strong> 3 cm; 3 cm.<br \/><strong>[B]<\/strong> 9 cm; 9 cm.<br \/><strong>[C]<\/strong> 3 cm; 9 cm.<br \/><strong>[D]<\/strong> 4,24 cm; 4,24 cm.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23632' onClick='GTTabs_show(1,23632)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23632'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23636\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23636\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5.png\" data-orig-size=\"447,460\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag068-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5.png\" class=\"wp-image-23636 alignright\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5-292x300.png\" alt=\"\" width=\"220\" height=\"226\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5-292x300.png 292w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag068-5.png 447w\" sizes=\"auto, (max-width: 220px) 100vw, 220px\" \/><\/a>A hipotenusa de um tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles mede \\(\\sqrt {18} \\) cm.<\/p>\n<p>Os seus catetos podem medir:<\/p>\n<p><strong>[A]<\/strong> 3 cm; 3 cm.<br \/><strong>[B]<\/strong> 9 cm; 9 cm.<br \/><strong>[C]<\/strong> 3 cm; 9 cm.<br \/><strong>[D]<\/strong> 4,24 cm; 4,24 cm.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Designemos por \\(a\\) a medida do comprimento dos catetos do tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles.<br \/>Aplicando o Teorema de Pit\u00e1goras nesse tri\u00e2ngulo ret\u00e2ngulo, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{a^2} + {a^2} = {{\\left( {\\sqrt {18} } \\right)}^2}}&amp; \\Leftrightarrow &amp;{2{a^2} = 18}\\\\{}&amp; \\Leftrightarrow &amp;{{a^2} = 9}\\\\{}&amp; \\Leftrightarrow &amp;{a = 3}\\end{array}\\]<\/p>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>[A]<\/strong> 3 cm; 3 cm.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23632' onClick='GTTabs_show(0,23632)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A hipotenusa de um tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles mede \\(\\sqrt {18} \\) cm. Os seus catetos podem medir: [A] 3 cm; 3 cm.[B] 9 cm; 9 cm.[C] 3 cm; 9 cm.[D] 4,24&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20362,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,118],"series":[],"class_list":["post-23632","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":263,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag089-14_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23632","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23632"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23632\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20362"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23632"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23632"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23632"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}