# How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 10 units in length?

Mar 20, 2016

≈ 29.394 square units

#### Explanation:

This is a 2 step process.

step 1 : calculate half the perimeter (s) of the triangle

let a = 7 , b = 15 and c = 10

$s = \frac{a + b + c}{2} = \frac{7 + 15 + 10}{2} = 16$

step 2 : calculate the area using

area  = sqrt(s(s-a)(s-b)(s-c)

$= \sqrt{16 \left(16 - 7\right) \left(16 - 15\right) \left(16 - 10\right)}$

 = sqrt(16xx9xx1xx6) ≈ 29.394 " square units "