MathDB

5

Part of 1997 IMO Shortlist

Problems(1)

Regular tetrahedron and M,N distinct points in the planes

Source: IMO Shortlist 1997, Q5

8/10/2008
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.
geometry3D geometrytetrahedronTriangleIMO Shortlist