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<b>Notice</b>:  Function _load_textdomain_just_in_time was called <strong>incorrectly</strong>. Translation loading for the <code>health-check</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later. Please see <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Debugging in WordPress</a> for more information. (This message was added in version 6.7.0.) in <b>/home/acasinha/public_html/wp-includes/functions.php</b> on line <b>6131</b><br />
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<b>Notice</b>:  A função _load_textdomain_just_in_time foi chamada <strong>incorrectamente</strong>. O carregamento da tradução para o domínio <code>hueman</code> foi accionado demasiado cedo. Isto é normalmente um indicador de que algum código no plugin ou tema está a ser executado demasiado cedo. As traduções devem ser carregadas na acção <code>init</code> ou mais tarde. Por favor veja <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Depuração no WordPress</a> para mais informações. (Esta mensagem foi adicionada na versão 6.7.0.) in <b>/home/acasinha/public_html/wp-includes/functions.php</b> on line <b>6131</b><br />
{"id":6240,"date":"2010-11-28T01:52:13","date_gmt":"2010-11-28T01:52:13","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6240"},"modified":"2022-01-19T19:18:52","modified_gmt":"2022-01-19T19:18:52","slug":"um-pentagono","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6240","title":{"rendered":"Um pent\u00e1gono"},"content":{"rendered":"<p><ul id='GTTabs_ul_6240' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6240' class='GTTabs_curr'><a  id=\"6240_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6240' ><a  id=\"6240_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_6240'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6243\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6243\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15.jpg\" data-orig-size=\"375,377\" 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=\"Pent\u00e1gono\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15.jpg\" class=\"alignright wp-image-6243\" title=\"Pent\u00e1gono\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15-298x300.jpg\" alt=\"\" width=\"240\" height=\"241\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15-298x300.jpg 298w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15-150x150.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-33-15.jpg 375w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>O pol\u00edgono [ABCDE] \u00e9 a composi\u00e7\u00e3o de um trap\u00e9zio ret\u00e2ngulo, um tri\u00e2ngulo ret\u00e2ngulo e um paralelogramo.<\/p>\n<p>O cateto maior e a hipotenusa do tri\u00e2ngulo ret\u00e2ngulo medem, respetivamente, 80 cm e 100 cm.<\/p>\n<p>A base maior do trap\u00e9zio mede 102 cm e a menor 54 cm.<\/p>\n<p>O \u00e2ngulo BCD \u00e9 reto.<\/p>\n<p>Calcula:<\/p>\n<ol>\n<li>o per\u00edmetro do pol\u00edgono [ABCDE];<\/li>\n<li>a \u00e1rea do pol\u00edgono [ABCDE].<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6240' onClick='GTTabs_show(1,6240)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6240'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><span class=\"alignright\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"text-align: right\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":251,\r\n\"height\":226,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 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\"};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/span>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo [BFC], temos:\n<p>$$\\begin{array}{*{35}{l}}<br \/>\n{{\\overline{FC}}^{2}}={{100}^{2}}-{{80}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{\\overline{FC}}^{2}}=3600\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; \\overline{FC}=\\sqrt{3600}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; \\overline{FC}=60\u00a0 \\\\<br \/>\n\\end{array}$$<\/p>\n<p>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo [CFG], temos:<\/p>\n<p>$$\\begin{array}{*{35}{l}}<br \/>\n{{\\overline{FG}}^{2}}={{60}^{2}}-{{(102-54)}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{\\overline{FG}}^{2}}=3600-2304\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; \\overline{FG}=\\sqrt{1296}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; \\overline{FG}=36\u00a0 \\\\<br \/>\n\\end{array}$$<\/p>\n<p>O per\u00edmetro do pol\u00edgono [ABCDE] \u00e9: \\[\\begin{array}{*{35}{l}}<br \/>\nP &amp; = &amp; \\overline{AB}+\\overline{BC}+\\overline{CD}+\\overline{DE}+\\overline{EA}\u00a0 \\\\<br \/>\n{} &amp; = &amp; 54+100+102+36+80\u00a0 \\\\<br \/>\n{} &amp; = &amp; 372\\,cm\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\u00ad<\/p>\n<\/li>\n<li>\n<p>Calculando, sucessivamente, a \u00e1rea do tri\u00e2ngulo, do trap\u00e9zio e do paralelogramo, temos:<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{A}_{[BFC]}} &amp; = &amp; \\frac{\\overline{FB}\\times \\overline{FC}}{2}\u00a0 \\\\<br \/>\n{} &amp; = &amp; \\frac{80\\times 60}{2}\u00a0 \\\\<br \/>\n{} &amp; = &amp; 2400\\,c{{m}^{2}}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{A}_{[CDEF]}} &amp; = &amp; \\frac{\\overline{CD}+\\overline{EF}}{2}\\times \\overline{FG}\u00a0 \\\\<br \/>\n{} &amp; = &amp; \\frac{102+54}{2}\\times 36\u00a0 \\\\<br \/>\n{} &amp; = &amp; 2808\\,c{{m}^{2}}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{A}_{[ABFE]}} &amp; = &amp; \\overline{AB}\\times \\overline{FH}\u00a0 \\\\<br \/>\n{} &amp; = &amp; 54\\times (100-36)\u00a0 \\\\<br \/>\n{} &amp; = &amp; 3456\\,c{{m}^{2}}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Logo, o per\u00edmetro do pol\u00edgono [ABCDE] \u00e9: \\[A=2400+2808+3456=8664\\,c{{m}^{2}}\\]<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6240' onClick='GTTabs_show(0,6240)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O pol\u00edgono [ABCDE] \u00e9 a composi\u00e7\u00e3o de um trap\u00e9zio ret\u00e2ngulo, um tri\u00e2ngulo ret\u00e2ngulo e um paralelogramo. O cateto maior e a hipotenusa do tri\u00e2ngulo ret\u00e2ngulo medem, respetivamente, 80 cm e 100&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20678,"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-6240","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":2672,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/8V1Pag033-15_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6240","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=6240"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6240\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20678"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6240"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}