# How do you use Heron's formula to find the area of a triangle with sides of lengths 8 , 8 , and 8 ?

Jan 22, 2016

Area = 27.71 square units

#### Explanation:

First we would find S which is the sum of the 3 sides divided by 2.

$S = \frac{8 + 8 + 8}{2}$ = $\frac{24}{2}$ = 12

Then use Heron's Equation to calculate the area.

$A r e a = \sqrt{S \left(S - A\right) \left(S - B\right) \left(S - C\right)}$

$A r e a = \sqrt{12 \left(12 - 8\right) \left(12 - 8\right) \left(12 - 8\right)}$

$A r e a = \sqrt{12 \left(4\right) \left(4\right) \left(4\right)}$

$A r e a = \sqrt{768}$

$A r e a = 27.71 u n i t {s}^{2}$