This is a right triangle whose three angles are in the ratio 1\u00a0:\u00a02\u00a0:\u00a03 and respectively measure 30\u00b0, 60\u00b0, and 90\u00b0. The sides are in the ratio x\u00a0:\u00a0x\u221a3\u00a0:\u00a02x or 1 : \u221a3 : 2.<\/p>\n
The side opposite 30\u00b0 is the shortest side, x or 1. The side opposite 60\u00b0 is x\u221a3 or \u221a3. The side opposite 90\u00b0 is the longest side (hypotenuse), 2x or 2.<\/p>\n
Example: If the shortest side of 30\u00b0 – 60\u00b0 – 90\u00b0 right triangle is 5, what is the measure of the other two sides?<\/p>\n Given x = 5.<\/p>\n The other two sides are 2x = 10 which is the longest side (hypotenuse) and x\u221a3 = 5\u221a3.<\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n 45<\/strong>\u00b0 – 45<\/strong>\u00b0 – 90<\/strong>\u00b0 <\/strong><\/p>\n This is a special right triangle whose three angles are in 1 : 1 : 2\u00a0 and measure 45\u00b0,45\u00b0 and 90\u00b0. The sides of this triangle are in ratio 1 : 1 : \u221a2 or x : x : x\u221a2. This triangle forms an isosceles right triangle.<\/p>\n Example: If one of the equal sides of a 45\u00b0 \u2013 45\u00b0 \u2013 90\u00b0 right triangle is 6, what are the measures of the other two sides?<\/p>\n Given x = 6,<\/p>\n The other two sides are x = 6 and x\u221a2 = 6\u221a2.<\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Calgary visit: Tutoring in Calgary.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" A special right triangle is a right triangle with some special feature that makes the calculations easier. There are two types of special right triangles: 30\u00b0 – 60\u00b0 – 90\u00b0 This is a right triangle whose three angles are in the ratio 1\u00a0:\u00a02\u00a0:\u00a03 and respectively measure 30\u00b0, 60\u00b0, and 90\u00b0. The sides are in the […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[21,25,1704,1705,1894],"class_list":["post-1413","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-306090specialtriangle","tag-454590specialtriangle","tag-specialrighttriangles","tag-specialtriangles","tag-typesofspecialtriangle"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1413","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=1413"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1413\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=1413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=1413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=1413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/03\/30-60-90.png\" "\\"30-60-90\\"")
<\/a><\/p>\n<\/a><\/p>\n<\/a><\/p>\n<\/a><\/p>\n