{"id":2284,"date":"2020-02-14T08:06:17","date_gmt":"2020-02-14T08:06:17","guid":{"rendered":"http:\/\/lash.utrng.edu.mx\/?p=2284"},"modified":"2024-06-22T01:21:49","modified_gmt":"2024-06-22T01:21:49","slug":"teorema-de-pitagoras","status":"publish","type":"post","link":"https:\/\/lash.utrng.edu.mx\/?p=2284","title":{"rendered":"Teorema de Pit\u00e1goras"},"content":{"rendered":"<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"294\" height=\"294\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-22.png\" alt=\"\" class=\"wp-image-2289\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-22.png 294w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-22-150x150.png 150w\" sizes=\"auto, (max-width: 294px) 100vw, 294px\" \/><\/figure><\/div>\n\n\n<p>Es una proposici\u00f3n atribuida a Pit\u00e1goras en la que en todo Tri\u00e1ngulo Rect\u00e1ngulo, <strong>El cuadrado de la Longitud de su Hipotenusa es igual a la Suma de los cuadrados de las Longitudes de los Catetos<\/strong>.<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"194\" height=\"37\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-18.png\" alt=\"\" class=\"wp-image-2285\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"244\" height=\"44\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-19.png\" alt=\"\" class=\"wp-image-2286\"\/><\/figure><\/div>\n\n\n<!--more-->\n\n\n\n<p class=\"has-vivid-red-color has-text-color\"><strong>\u00c1ngulos Agudos Complementarios<\/strong><\/p>\n\n\n\n<p>Observaci\u00f3n: En un Tri\u00e1ngulo rect\u00e1ngulo se verifica que:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>La Hipotenusa es mayor que cualquiera de los Catetos y menor que la suma de ellos.<\/li>\n\n\n\n<li>Al Mayor \u00e1ngulo se opone el mayor lado y as\u00ed rec\u00edprocamente.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\"><strong>Raz\u00f3n trigonom\u00e9trica<\/strong><\/p>\n\n\n\n<p>Es aquel n\u00famero que resulta de dividir las longitudes de dos lados de un tri\u00e1ngulo rect\u00e1ngulo.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\"><strong>C\u00e1lculo de razones trigonom\u00e9tricas<\/strong><\/p>\n\n\n\n<p>Los de \u00e1ngulos agudos, se establecen con <strong>la Divisi\u00f3n entre las longitudes de sus lados tomados de dos en dos y con respecto a uno de sus \u00e1ngulos agudos<\/strong>.<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-20.png\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"469\" height=\"287\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-20.png\" alt=\"\" class=\"wp-image-2287\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-20.png 469w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-20-300x184.png 300w\" sizes=\"auto, (max-width: 469px) 100vw, 469px\" \/><\/a><\/figure><\/div>\n\n\n<p>Ahora, considerando al \u00e1ngulo \u00ab\u03b8\u00bb, se tiene que:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-21.png\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"593\" height=\"606\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-21.png\" alt=\"\" class=\"wp-image-2288\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-21.png 593w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-21-294x300.png 294w\" sizes=\"auto, (max-width: 593px) 100vw, 593px\" \/><\/a><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"has-very-light-gray-color has-very-dark-gray-background-color has-text-color has-background has-medium-font-size\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p>Calcule los valores de las Seis Razones Trigonom\u00e9tricas del menor \u00e1ngulo   \u00ab\u03b8\u00bb en un tri\u00e1ngulo rect\u00e1ngulo, cuyos catetos miden 5 y 12 unidades.<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"176\" height=\"134\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-23.png\" alt=\"\" class=\"wp-image-2292\"\/><\/figure><\/div>\n\n\n<p>Aplicando el teorema de Pit\u00e1goras, tenemos:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"147\" height=\"74\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-24.png\" alt=\"\" class=\"wp-image-2294\"\/><\/figure><\/div>\n\n\n<p>Luego definimos:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"180\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-25.png\" alt=\"\" class=\"wp-image-2295\" style=\"width:375px;height:199px\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-25.png 340w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-25-300x159.png 300w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/figure><\/div>\n\n\n<p class=\"has-very-light-gray-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>Ejercicio:<\/strong><\/p>\n\n\n\n<p>Ejercicio 1: Resolver la siguiente tabla<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-large\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-26.png\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"498\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-26.png\" alt=\"\" class=\"wp-image-2296\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-26.png 604w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2020\/02\/image-26-300x247.png 300w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/figure><\/div>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Es una proposici\u00f3n atribuida a Pit\u00e1goras en la que en todo Tri\u00e1ngulo Rect\u00e1ngulo, El cuadrado de la Longitud de su Hipotenusa es igual a la Suma de los cuadrados de las Longitudes de los Catetos.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[51],"tags":[],"class_list":["post-2284","post","type-post","status-publish","format-standard","hentry","category-primerparcialfuncionesmate"],"_links":{"self":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/2284","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2284"}],"version-history":[{"count":4,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/2284\/revisions"}],"predecessor-version":[{"id":3522,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/2284\/revisions\/3522"}],"wp:attachment":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}