Circles and Triangles
Source: ToT - 2001 Fall Senior A-Level #1
August 17, 2011
geometry unsolvedgeometry
Problem Statement
On the plane is a triangle with red vertices and a triangle with blue vertices. is a point inside both triangles such that the distance from to any red vertex is less than the distance from to any blue vertex. Can the three red vertices and the three blue vertices all lie on the same circle?