tangent circumcircles
Source: 2019 Oral Moscow Geometry Olympiad grades 8-9 p4
May 21, 2019
geometryperpendicular bisectortangent circlescircumcircle
Problem Statement
The perpendicular bisector of the bisector of the triangle intersects the bisectors of its external angles and at points and , respectively. Prove that the circle circumscribed around the triangle is tangent to the circle circumscribed around the triangle .