triangle between common tangents of externally tangent circles in terms of r,R
Source: Mexican Mathematical Olympiad 1988 OMM P3
July 27, 2018
geometrytangent circlescommon tangentsarea of a triangle
Problem Statement
Two externally tangent circles with different radii are given. Their common tangents form a triangle. Find the area of this triangle in terms of the radii of the two circles.