MathDB

6

Part of 1988 IMO Shortlist

Problems(1)

Tedrahedron ABCD

Source: IMO Shortlist 1988, Problem 6, Czech Republic 3, Problem 8 of ILL

10/22/2005
In a given tedrahedron ABCD ABCD let K K and L L be the centres of edges AB AB and CD CD respectively. Prove that every plane that contains the line KL KL divides the tedrahedron into two parts of equal volume.
geometry3D geometrytetrahedronparallelogramIMO Shortlist