2 common tangents of externally tangent circles are sides of an isosceles
Source: Lusophon 2015 CPLP P5
August 29, 2018
geometrytangent circlesisosceles
Problem Statement
Two circles of radius and , with , are tangent to each other externally. The sides adjacent to the base of an isosceles triangle are common tangents to these circles. The base of the triangle is tangent to the circle of the greater radius. Determine the length of the base of the triangle.