6

Part of 1981 Polish MO Finals

Problems(1)

volume of tetrahedron ineq

Source: Polish MO Finals 1981 p6

In a tetrahedron of volume

V

the sum of the squares of the lengths of its edges equals

S

V \le \frac{S\sqrt{S}}{72\sqrt{3}}

geometry3D geometrytetrahedronGeometric Inequalities