Tetrahedron with circumcircles having the same radius
Source: Iranian National Olympiad (3rd Round) 2003
January 24, 2009
geometry3D geometrytetrahedroncircumcirclespheregeometry proposed
Problem Statement
In tetrahedron , radius four circumcircles of four faces are equal. Prove that AB\equal{}CD, AC\equal{}BD and AD\equal{}BC.