Question

How do you use Heron's formula to find the area of a triangle with sides of lengths `7`, `4`, and `6`?

Answer 1

`\sqrt{(17/2)(3/2)(9/2)(5/2)}=(3/4)\sqrt{255}`

Explanation:

Let a, b, c be the sides of the triangle. Calculate the semi-perimeter s = (a+b+c)/2. Heron's formula for the area is

`\sqrt{s(s-a)(s-b)(s-c)}`