# A triangle has sides with lengths: 1, 5, and 8. How do you find the area of the triangle using Heron's formula?

##### 1 Answer

Jan 2, 2016

This is an unsatisfactory result as it demonstrates that this triangle cannot exist.

#### Explanation:

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is:

where s is the semiperimeter of the triangle; that is,

In this case; a = 1, b = 5, c = 8

Therefore

By Heron: