# A triangle has sides with lengths: 6, 9, and 5. How do you find the area of the triangle using Heron's formula?

Jan 2, 2016

10√2 or 14.14 (2 decimal places)

#### Explanation:

find 1/2 of the triangles perimeter s
s = 1/2(6 + 9 + 5) =1/2 (20) =10

A= √s(s - a)(s-b)(s-c)
= √10(10 - 6)(10 - 9)(10-5)
=√10xx4xx1xx5
=√200
=10√2 or 14.14( 2 decimal places)