A triangle has sides with lengths: 6, 1, and 5. How do you find the area of the triangle using Heron's formula?
First, find the semiperimeter
Why is the area 0?
The Triangle Inequality Theorem states that the length of any side of a triangle MUST be less than the sum of the other two sides. For this problem, the theorem fails the test :
So, a triangle with sides 6, 1 and 5 is not a triangle!
hope that helped