(I.Bogdanov, 11) Let $ h$ be the least altitude of a tetrahedron, and $ d$ the least distance between its opposite edges. For what values of $ t$ the inequality $ d>th$ is possible?
Problem
Source: Sharygin contest 2008. The correspondence round. Problem 24
Tags: inequalities, geometry, 3D geometry, tetrahedron, geometry proposed, geometry unsolved