{"id":4809,"date":"2010-10-28T15:24:40","date_gmt":"2010-10-28T14:24:40","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4809"},"modified":"2022-01-14T23:18:28","modified_gmt":"2022-01-14T23:18:28","slug":"constroi-um-paralelogramo-mnpq","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4809","title":{"rendered":"Constr\u00f3i um paralelogramo [MNPQ]"},"content":{"rendered":"<p><ul id='GTTabs_ul_4809' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4809' class='GTTabs_curr'><a  id=\"4809_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4809' ><a  id=\"4809_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_4809'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Constr\u00f3i um paralelogramo [MNPQ], sabendo que $\\overline{MN}=10\\,cm$, $\\overline{MQ}=5,4\\,cm$ e $\\hat{M}=60{}^\\text{o}$.<\/p>\n<p>A seguir, tra\u00e7a as suas diagonais e designa por O o seu ponto de intersec\u00e7\u00e3o.<\/p>\n<p>Determina:<\/p>\n<ol>\n<li>a amplitude do \u00e2ngulo interno P;<\/li>\n<li>a amplitude do \u00e2ngulo interno Q;<\/li>\n<li>o per\u00edmetro do paralelogramo.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4809' onClick='GTTabs_show(1,4809)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4809'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Reproduz a constru\u00e7\u00e3o:<\/p>\n<p style=\"text-align: center;\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 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${{P}_{[MNPQ]}}=2\\times \\overline{MN}+2\\times \\overline{MQ}=2\\times 10+2\\times 5,4=30,8$ cm.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4809' onClick='GTTabs_show(0,4809)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Constr\u00f3i um paralelogramo [MNPQ], sabendo que $\\overline{MN}=10\\,cm$, $\\overline{MQ}=5,4\\,cm$ e $\\hat{M}=60{}^\\text{o}$. A seguir, tra\u00e7a as suas diagonais e designa por O o seu ponto de intersec\u00e7\u00e3o. Determina: a amplitude do \u00e2ngulo interno&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19234,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,102],"tags":[424,105,67,107],"series":[],"class_list":["post-4809","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-do-espaco-ao-plano","tag-8-o-ano","tag-angulos","tag-geometria","tag-paralelogramo"],"views":1550,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat76.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4809","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=4809"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4809\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19234"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4809"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4809"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4809"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}