{"id":6418,"date":"2010-12-22T23:31:58","date_gmt":"2010-12-22T23:31:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6418"},"modified":"2022-01-04T15:47:01","modified_gmt":"2022-01-04T15:47:01","slug":"o-varao-de-um-cortinado","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6418","title":{"rendered":"O var\u00e3o de um cortinado"},"content":{"rendered":"<p><ul id='GTTabs_ul_6418' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6418' class='GTTabs_curr'><a  id=\"6418_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6418' ><a  id=\"6418_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_6418'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual o comprimento m\u00e1ximo que pode ter o var\u00e3o de um cortinado que se deseja guardar provisoriamente numa arrecada\u00e7\u00e3o de 3 m de comprimento, 4 m de largura e 3 m de altura?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6418' onClick='GTTabs_show(1,6418)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6418'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Admitindo que a arrecada\u00e7\u00e3o tem a forma de um paralelep\u00edpedo, determinemos o comprimento da sua diagonal, aplicando o Teorema de Pit\u00e1goras no espa\u00e7o:<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{d}^{2}}={{3}^{2}}+{{4}^{2}}+{{3}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{d}^{2}}=9+16+9\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{d}^{2}}=34\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; d=\\sqrt{34}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Como $\\sqrt{34}\\simeq 5,83$, o comprimento m\u00e1ximo que o var\u00e3o pode ter \u00e9 5,83 metros.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6418' onClick='GTTabs_show(0,6418)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual o comprimento m\u00e1ximo que pode ter o var\u00e3o de um cortinado que se deseja guardar provisoriamente numa arrecada\u00e7\u00e3o de 3 m de comprimento, 4 m de largura e 3 m&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19188,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,112],"tags":[424,67,118],"series":[],"class_list":["post-6418","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-decomposicao-de-figuras-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":2504,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat74.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6418","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=6418"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6418\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19188"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6418"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6418"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6418"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}