{"id":613,"date":"2012-01-30T23:59:15","date_gmt":"2012-01-30T23:59:15","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=613"},"modified":"2014-12-02T08:33:49","modified_gmt":"2014-12-02T08:33:49","slug":"herons-formula-area-of-a-triangle","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/01\/30\/herons-formula-area-of-a-triangle\/","title":{"rendered":"Heron’s Formula: Area of a Triangle"},"content":{"rendered":"

Heron\u2019s formula is used to calculate the area of a triangle if all three sides are known. It is called “Heron’s Formula” after Hero of Alexandria who was a Greek Engineer and Mathematician.<\/p>\n

According to Heron\u2019s Formula, area of a triangle whose sides are a<\/em>, b<\/em>, and c<\/em> is given as:<\/p>\n

\"\"<\/a><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

Example:<\/p>\n

Find the area of a triangle whose sides are:<\/p>\n

a = 5, b = 6, c = 7<\/p>\n

s = (5 + 6 + 7)\/2 = 18\/2 = 9<\/p>\n

A = sqrt[9(9 \u2013 5)(9 \u2013 6)(9 \u2013 7)]\n

= sqrt[9(4)(3)(2)]\n

= sqrt(216)\u2248 14.7<\/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, visit: SchoolTutoring Academy<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Heron\u2019s formula is used to calculate the area of a triangle if all three sides are known. It is called “Heron’s Formula” after Hero of Alexandria who was a Greek Engineer and Mathematician. According to Heron\u2019s Formula, area of a triangle whose sides are a, b, and c is given as:         […]<\/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":[10,11],"tags":[133,769],"class_list":["post-613","post","type-post","status-publish","format-standard","hentry","category-geometry","category-math-fundamentals","tag-areaofatriangle","tag-heronsformula"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/613","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=613"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/613\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=613"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=613"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}