MathDB
Inradius and circumradius

Source:

January 26, 2006
geometryinradiuscircumcircle

Problem Statement

The vertices of a right-angled triangle are on a circle of radius RR and the sides of the triangle are tangent to another circle of radius rr (this is the circle that is inside triangle). If the lengths of the sides about the right angles are 16 and 30, determine the value of R+rR+r.