{"id":7633,"date":"2022-09-16T06:27:17","date_gmt":"2022-09-16T06:27:17","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7633"},"modified":"2022-09-16T06:27:17","modified_gmt":"2022-09-16T06:27:17","slug":"law-of-cosines-given-three-sides","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/16\/law-of-cosines-given-three-sides\/","title":{"rendered":"Law of Cosines: Given three sides"},"content":{"rendered":"\n<p><strong>Example:<\/strong><br>In triangle ABC, a = 9 cm, b = 10 cm and c = 13 cm. Find the size of the largest angle.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>The largest angle is the one facing the longest side, i.e. C.<\/p>\n\n\n\n<p>c<sup>2<\/sup>&nbsp;= a<sup>2<\/sup>&nbsp;+ b<sup>2<\/sup>&nbsp;\u2013 2ab cos C<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" height=\"91\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/law-of-cosines3.gif\" width=\"143\"><br>= 0.067<\/p>\n\n\n\n<p>\u2220C = 86.2\u00b0<\/p>\n\n\n\n<p><strong>How to use the cosine rule?<\/strong><br>One given SAS and the other given SSS.<br>Using Law of Cosines to solve triangles given 3 sides (SSS) and 2 sides and the angle in between (SAS).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Example:In triangle ABC, a = 9 cm, b = 10 cm and c = 13 cm. Find the size of the largest angle. Solution:The largest angle is the one facing the longest side, i.e. C. c2&nbsp;= a2&nbsp;+ b2&nbsp;\u2013 2ab cos C = 0.067 \u2220C = 86.2\u00b0 How to use the cosine rule?One given SAS and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[369],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7633"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=7633"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7633\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}