# How do you use Heron's formula to determine the area of a triangle with sides of that are 4, 6, and 8 units in length?

Mar 15, 2016

$P = 3 \sqrt{15}$

#### Explanation:

$s = \frac{a + b + c}{2}$

$s = \frac{4 + 6 + 8}{2} = 9$

$P = \sqrt{s \left(s - a\right) \left(s - b\right) \left(s - c\right)}$

$P = \sqrt{9 \cdot \left(9 - 4\right) \left(9 - 6\right) \left(9 - 8\right)} = \sqrt{9 \cdot 5 \cdot 3} = 3 \sqrt{15}$