A triangle has sides with lengths: 1, 5, and 8. How do you find the area of the triangle using Heron's formula?
This is an unsatisfactory result as it demonstrates that this triangle cannot exist.
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