IMO 1979 LL GRE36

A regular tetrahedron A1B1C1D1 is inscribed in a regular

IMO 1979 LL GRE36

Origin: GRE

Problem

A regular tetrahedron A1B1C1D1 is inscribed in a regular tetrahedron ABCD, where A1 lies in the plane BCD, B1 in the plane ACD, etc. Prove that A1B1 \geqAB/3.