area between 4 common tangents of 2 circles, internal are perpendicular
Source: 2008 Oral Moscow Geometry Olympiad grades 10-11 p2
October 14, 2020
geometrycommon tangentsarea
Problem Statement
The radii and of two non-intersecting circles are given. The common internal tangents of these circles are perpendicular. Find the area of the triangle bounded by these tangents, as well as the common external tangents.