{"id":6865,"date":"2011-05-19T00:55:21","date_gmt":"2011-05-18T23:55:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6865"},"modified":"2022-01-18T02:45:00","modified_gmt":"2022-01-18T02:45:00","slug":"o-perimetro-de-um-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6865","title":{"rendered":"O per\u00edmetro de um tri\u00e2ngulo"},"content":{"rendered":"<p><ul id='GTTabs_ul_6865' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6865' class='GTTabs_curr'><a  id=\"6865_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6865' ><a  id=\"6865_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_6865'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6866\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6866\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" data-orig-size=\"272,162\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Tri\u00e2ngulo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" class=\"alignright wp-image-6866\" title=\"Tri\u00e2ngulo\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" alt=\"\" width=\"240\" height=\"143\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg 272w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6-150x89.jpg 150w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Considera o tri\u00e2ngulo da figura (medidas expressas em cent\u00edmetros).<\/p>\n<ol>\n<li>Escreve uma equa\u00e7\u00e3o que te permita calcular o per\u00edmetro P do tri\u00e2ngulo.<\/li>\n<li>Obtiveste em 1. uma equa\u00e7\u00e3o com duas vari\u00e1veis, P e x, resolvida em ordem a P.<br \/>\nResolve-a em ordem a x.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6865' onClick='GTTabs_show(1,6865)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6865'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6866\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6866\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" data-orig-size=\"272,162\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Tri\u00e2ngulo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" class=\"alignright wp-image-6866\" title=\"Tri\u00e2ngulo\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg\" alt=\"\" width=\"240\" height=\"143\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6.jpg 272w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/2v8pag59-6-150x89.jpg 150w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Ora, $P=x+(x+1)+(x+2)\\Leftrightarrow P=3x+3$.<br \/>\n\u00ad<\/li>\n<li>Resolvendo a equa\u00e7\u00e3o anterior em ordem a x, vem: \\[\\begin{matrix}<br \/>\nP=3x+3 &amp; \\Leftrightarrow\u00a0 &amp; 3x+3=P\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; 3x=P-3\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; x=\\frac{P-3}{3}\u00a0 \\\\<br \/>\n\\end{matrix}\\]<\/li>\n<\/ol>\n<p style=\"text-align: center;\">\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6865' onClick='GTTabs_show(0,6865)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera o tri\u00e2ngulo da figura (medidas expressas em cent\u00edmetros). Escreve uma equa\u00e7\u00e3o que te permita calcular o per\u00edmetro P do tri\u00e2ngulo. Obtiveste em 1. uma equa\u00e7\u00e3o com duas vari\u00e1veis, P e&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20592,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,159],"tags":[192],"series":[],"class_list":["post-6865","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-do-1--grau","tag-equacoes-literais"],"views":7434,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/8V2Pag059-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6865","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=6865"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6865\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20592"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6865"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}