A triangle has sides with lengths of 5, 9, and 8. What is the radius of the triangles inscribed circle?
2 Answers
Explanation:
Refer to the figure below
As the sides of the triangle are 5, 8 and 9:
Adding the first and last equations
Using the Law of Cosines:
In the right triangle with
Radius of inscribed circle is
Explanation:
The radius of a circle inscribed in a triangle is
For a triangle with sides
Using Heron's formula
And the required radius is