How do you use Heron's formula to find the area of a triangle with sides of lengths 4 , 5 , and 7 ?

1 Answer
Apr 19, 2016

Area of the triangle is 7.483

Explanation:

According to Heron's formula, area of a triangle whose three sides are a, b and c is given by sqrt(s(s-a)(s-b)(s-c)), where s=1/2(a+b+c).

As in given case three sides are 4, 5 and 7, s=1/2(4+5+7)=16/2=8 and hence area of the triangle is

sqrt(8xx(8-4)xx(8-5)xx(8-7))=sqrt(8xx4xx3xx1)=sqrt56=7.483