{"id":6191,"date":"2010-11-27T02:29:31","date_gmt":"2010-11-27T02:29:31","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6191"},"modified":"2022-01-19T19:04:53","modified_gmt":"2022-01-19T19:04:53","slug":"rascunho-36","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6191","title":{"rendered":"Determina o valor de y"},"content":{"rendered":"<p><ul id='GTTabs_ul_6191' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6191' class='GTTabs_curr'><a  id=\"6191_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6191' ><a  id=\"6191_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_6191'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina o valor de y nas seguintes figuras (as medidas indicadas est\u00e3o em dec\u00edmetros):<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6196\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6196\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" data-orig-size=\"596,164\" 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\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-300x82.jpg\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" class=\"aligncenter wp-image-6196 size-full\" title=\"Tri\u00e2ngulos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" alt=\"\" width=\"596\" height=\"164\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg 596w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-300x82.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-150x41.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-400x110.jpg 400w\" sizes=\"auto, (max-width: 596px) 100vw, 596px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6191' onClick='GTTabs_show(1,6191)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6191'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6196\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6196\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" data-orig-size=\"596,164\" 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\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-300x82.jpg\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" class=\"aligncenter wp-image-6196 size-full\" title=\"Tri\u00e2ngulos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg\" alt=\"\" width=\"596\" height=\"164\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12.jpg 596w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-300x82.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-150x41.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag33-12-400x110.jpg 400w\" sizes=\"auto, (max-width: 596px) 100vw, 596px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><script src=\"http:\/\/tube.geogebra.org\/scripts\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" align=\"center\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":610,\r\n\"height\":175,\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><\/p>\n<p>Aplicando o Teorema de Pit\u00e1goras nos sucessivos tri\u00e2ngulos ret\u00e2ngulos, obt\u00e9m-se:<\/p>\n<p><strong>Al\u00ednea a):<\/strong><\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{2}^{2}}+{{a}^{2}}={{3}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{a}^{2}}={{3}^{2}}-{{2}^{2}}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{a}^{2}}=9-4\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; a=\\sqrt{5}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{y}^{2}}={{8}^{2}}+{{(\\sqrt{5})}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=64+5\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=69\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; y=\\sqrt{69}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Logo, $y=\\sqrt{69}\\,dm$.<\/p>\n<p><strong>Al\u00ednea b)<\/strong>:<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{b}^{2}}={{1}^{2}}+{{1}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{b}^{2}}=2\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; b=\\sqrt{2}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{y}^{2}}={{1}^{2}}+{{(\\sqrt{2})}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=1+2\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=3\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; y=\\sqrt{3}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Logo, $y=\\sqrt{3}\\,dm$<\/p>\n<p><strong>Al\u00ednea c)<\/strong>:<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{c}^{2}}={{1}^{2}}+{{3}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{c}^{2}}=10\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; c=\\sqrt{10}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{d}^{2}}={{6}^{2}}+{{(\\sqrt{10})}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{d}^{2}}=36+10\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{d}^{2}}=46\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; d=\\sqrt{46}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n{{y}^{2}}={{3}^{2}}+{{(\\sqrt{46})}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=9+46\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{y}^{2}}=55\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; y=\\sqrt{55}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Logo, $y=\\sqrt{55}\\,dm$.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6191' onClick='GTTabs_show(0,6191)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina o valor de y nas seguintes figuras (as medidas indicadas est\u00e3o em dec\u00edmetros): Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20675,"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-6191","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":2533,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/8V1Pag033-12_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6191","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=6191"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6191\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20675"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6191"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}