# How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 58, and 41 units in length?

Mar 1, 2016

First find the semiperimeter $s = \frac{25 + 58 + 41}{2} = 62$.

Next, use Heron's area formula ...

#### Explanation:

Heron's Area $= \sqrt{s \left(s - a\right) \left(s - b\right) \left(s - c\right)}$

where, a, b and c are the sides of the triangle ...

Heron's Area $= \sqrt{62 \left(62 - 25\right) \left(62 - 58\right) \left(62 - 41\right)}$

$\approx 438.97$ $u n i {t}^{2}$

hope that helps