{"id":25619,"date":"2023-05-09T08:31:55","date_gmt":"2023-05-09T07:31:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25619"},"modified":"2023-06-14T09:03:33","modified_gmt":"2023-06-14T08:03:33","slug":"considera-o-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25619","title":{"rendered":"Considera o tri\u00e2ngulo"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25619' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25619' class='GTTabs_curr'><a  id=\"25619_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25619' ><a  id=\"25619_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_25619'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera o tri\u00e2ngulo da figura.<br>As medidas est\u00e3o expressas em cm.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25620\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25620\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" data-orig-size=\"289,171\" 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_Pag190-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" class=\"aligncenter wp-image-25620 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" alt=\"\" width=\"289\" height=\"171\"><\/a><\/p>\n<ol>\n<li>Escreve uma express\u00e3o literal que te permita calcula o per\u00edmetro <em>P<\/em> do tri\u00e2ngulo.<\/li>\n<li>Qual \u00e9 o per\u00edmetro do tri\u00e2ngulo se \\(x = \\frac{2}{3}\\)?<\/li>\n<li>Obtiveste em 1. uma equa\u00e7\u00e3o com duas vari\u00e1veis, <em>P<\/em> e <em>x<\/em>, resolvida em ordem a <em>P<\/em>.<br>Resolve-a em ordem a <em>x<\/em>.<\/li>\n<li>Qual \u00e9 o comprimento dos lados do tri\u00e2ngulo se o per\u00edmetro for 9 cm?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25619' onClick='GTTabs_show(1,25619)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25619'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Considera o tri\u00e2ngulo da figura.<br>As medidas est\u00e3o expressas em cm.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25620\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25620\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" data-orig-size=\"289,171\" 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_Pag190-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" class=\"aligncenter wp-image-25620 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1.png\" alt=\"\" width=\"289\" height=\"171\"><\/a><\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li>Uma express\u00e3o literal que permite calcular o per\u00edmetro <em>P<\/em> do tri\u00e2ngulo \u00e9 \\(P = 3x + 3\\), pois<br>\\[P = x + \\left( {x + 1} \\right) + \\left( {x + 2} \\right) = 3x + 3\\]<\/li>\n<li>&nbsp;Se \\(x = \\frac{2}{3}\\), o per\u00edmetro do tri\u00e2ngulo \u00e9 5 cm, pois:<br>\\[P\\left( {\\frac{2}{3}} \\right) = 3 \\times \\frac{2}{3} + 3 = 2 + 3 = 5\\]<\/li>\n<li>Resolvendo a equa\u00e7\u00e3o \\(P = 3x + 3\\) em ordem a <em>x<\/em>, vem:<br>\\[\\begin{array}{*{20}{l}}{P = 3x + 3}&amp; \\Leftrightarrow &amp;{3x = P &#8211; 3}\\\\{}&amp; \\Leftrightarrow &amp;{x = \\frac{{P &#8211; 3}}{3}}\\end{array}\\]<\/li>\n<li>Se o per\u00edmetro do tri\u00e2ngulo for 9 cm, ent\u00e3o \\(x = \\frac{{9 &#8211; 3}}{3} = 2\\) cm.<br>Assim, os comprimentos dos lados do tri\u00e2ngulo s\u00e3o 2 cm, 3 cm e 4 cm.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25619' onClick='GTTabs_show(0,25619)'>&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.As medidas est\u00e3o expressas em cm. Escreve uma express\u00e3o literal que te permita calcula o per\u00edmetro P do tri\u00e2ngulo. Qual \u00e9 o per\u00edmetro do tri\u00e2ngulo se \\(x&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25621,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,192],"series":[],"class_list":["post-25619","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-equacoes-literais"],"views":60,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag190-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25619","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=25619"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25619\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25621"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25619"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}