computational with tangent circles
Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 2 E+13
December 12, 2022
tangent circlesgeometry
Problem Statement
Circle has radius , externally touching circle with radius . Circle touches both circles, as well as the line determined by their centres. Let be the circle touching and externally (other than ) whose center lies on line . What is the radius of ?