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

Mar 2, 2016

$\setminus \sqrt{\left(\frac{17}{2}\right) \left(\frac{3}{2}\right) \left(\frac{9}{2}\right) \left(\frac{5}{2}\right)} = \left(\frac{3}{4}\right) \setminus \sqrt{255}$

#### 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

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