Points on a Tetrahedron
Source: ToT - 2001 Spring Senior O-Level #5
August 17, 2011
geometry3D geometrytetrahedroncircumcirclegeometry unsolved
Problem Statement
Nine points are drawn on the surface of a regular tetrahedron with an edge of cm. Prove that among these points there are two located at a distance (in space) no greater than cm.