MathDB

1

Part of 1973 IMO Longlists

Problems(1)

A sphere of radius r fits into the tetrahedron (ILL 1793)

Source:

6/6/2011
Find the maximal positive number rr with the following property: If all altitudes of a tetrahedron are ≥1\geq 1, then a sphere of radius rr fits into the tetrahedron.
geometry3D geometryspheretetrahedron