{"id":24962,"date":"2023-04-10T19:18:35","date_gmt":"2023-04-10T18:18:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24962"},"modified":"2023-04-10T19:37:52","modified_gmt":"2023-04-10T18:37:52","slug":"o-cesar-desenhou-um-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24962","title":{"rendered":"O C\u00e9sar desenhou um tri\u00e2ngulo"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24962' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24962' class='GTTabs_curr'><a  id=\"24962_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24962' ><a  id=\"24962_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_24962'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O C\u00e9sar desenhou o tri\u00e2ngulo [ABC], ret\u00e2ngulo em A, da figura.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24963\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24963\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" data-orig-size=\"227,177\" 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_Pag153-8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" class=\"aligncenter wp-image-24963\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" alt=\"\" width=\"227\" height=\"177\" \/><\/a><\/p>\n<p>Sabe-se que o lado [AC] mede 16 cm e que \\(\\overline {BC} = 32 &#8211; \\overline {AB} \\).<br \/>Qual \u00e9 o comprimento do lado [AB]? Explica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24962' onClick='GTTabs_show(1,24962)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24962'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>O C\u00e9sar desenhou o tri\u00e2ngulo [ABC], ret\u00e2ngulo em A, da figura.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24963\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24963\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" data-orig-size=\"227,177\" 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_Pag153-8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" class=\"aligncenter wp-image-24963\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8.png\" alt=\"\" width=\"227\" height=\"177\" \/><\/a><\/p>\n<blockquote>\n<p>Sabe-se que o lado [AC] mede 16 cm e que \\(\\overline {BC} = 32 &#8211; \\overline {AB} \\).<br \/>Qual \u00e9 o comprimento do lado [AB]? Explica a tua resposta.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo [ABC], vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{{\\overline {AB} }^2} + {{16}^2} = {{\\left( {32 &#8211; \\overline {AB} } \\right)}^2}}&amp; \\Leftrightarrow &amp;{{{\\overline {AB} }^2} + {{16}^2} = {{32}^2} &#8211; 64\\overline {AB} + {{\\overline {AB} }^2}}\\\\{}&amp; \\Leftrightarrow &amp;{64\\overline {AB} = 1024 &#8211; 256}\\\\{}&amp; \\Leftrightarrow &amp;{\\overline {AB} = 12}\\end{array}\\]<\/p>\n<p>Portanto, \\(\\overline {AB} = 12\\) cm.<\/p>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24962' onClick='GTTabs_show(0,24962)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O C\u00e9sar desenhou o tri\u00e2ngulo [ABC], ret\u00e2ngulo em A, da figura. Sabe-se que o lado [AC] mede 16 cm e que \\(\\overline {BC} = 32 &#8211; \\overline {AB} \\).Qual \u00e9 o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24964,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,118],"series":[],"class_list":["post-24962","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-teorema-de-pitagoras"],"views":119,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag153-8_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24962","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=24962"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24962\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24964"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24962"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}