MathDB
Regular tetrahedron and M,N distinct points in the planes

Source: IMO Shortlist 1997, Q5

August 10, 2008
geometry3D geometrytetrahedronTriangleIMO Shortlist

Problem Statement

Let ABCD ABCD be a regular tetrahedron and M,N M,N distinct points in the planes ABC ABC and ADC ADC respectively. Show that the segments MN,BN,MD MN,BN,MD are the sides of a triangle.
Back to ProblemsView on AoPS