\nEnunciado<\/b><\/span><\/p>\n
$\"\"$ <\/a>Observa a figura em que os v\u00e9rtices dos \u00e2ngulos retos formam uma espiral.<\/p>\n
Calcula a<\/em>, b<\/em>, c<\/em>, d<\/em> e e<\/em>.<\/p>\n
Resolu\u00e7\u00e3o >><\/a><\/span><\/div><\/div>\n\n
\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
$\"\"$ <\/a>Considerando que\u00a0a<\/em>, b<\/em>, c<\/em>, d<\/em> e e<\/em> s\u00e3o comprimentos de hipotenusas e de catetos de tri\u00e2ngulos ret\u00e2ngulos consecutivos, temos por aplica\u00e7\u00e3o do Teorema de Pit\u00e1goras:<\/p>\n
\\[\\begin{array}{*{35}{l}}
\na=\\sqrt{{{1}^{2}}+{{1}^{2}}}=\\sqrt{2}\u00a0 \\\\
\nb=\\sqrt{{{(\\sqrt{2})}^{2}}+{{1}^{2}}}=\\sqrt{2+1}=\\sqrt{3}\u00a0 \\\\
\nc=\\sqrt{{{(\\sqrt{3})}^{2}}+{{1}^{2}}}=\\sqrt{3+1}=\\sqrt{4}=2\u00a0 \\\\
\nd=\\sqrt{{{(\\sqrt{4})}^{2}}+{{1}^{2}}}=\\sqrt{4+1}=\\sqrt{5}\u00a0 \\\\
\ne=\\sqrt{{{(\\sqrt{5})}^{2}}+{{1}^{2}}}=\\sqrt{5+1}=\\sqrt{6}\u00a0 \\\\
\n\\end{array}\\]<\/p>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Observa a figura em que os v\u00e9rtices dos \u00e2ngulos retos formam uma espiral. Calcula a, b, c, d e e. Resolu\u00e7\u00e3o >> Resolu\u00e7\u00e3o << Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20669,"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-6085","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":3735,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/8V1Pag032-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6085","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=6085"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6085\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20669"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6085"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}