A triangle has sides with lengths of 5, 9, and 4. What is the radius of the triangles inscribed circle?
1 Answer
Jan 21, 2016
Notice that
So, we cannot talk about inscribed circle.
Explanation:
However, it would be educational to know how to solve this problem in general for real triangles.
Assume, we have a triangle with sides
On the other hand, this same area, according to Heron's formula, is equal to
where
From this we can derive an equation
Solving the above for