Question

A triangle has sides with lengths: 7, 9, and 15. How do you find the area of the triangle using Heron's formula?

Answer 1

`A = 1/4 * sqrt 6851`

Explanation:

`p = (7 + 9 + 15)/2 = 15.5`

`A = sqrt{p(p-7)(p-9)(p-15)}`

`A = sqrt{15.5 times 8.5 times 6.5 times 0.5}`

`A = sqrt frac{4281875}{10000} = sqrt frac{13*17*31}{16}`