orthocentric tetrahedron, strict inequality
Source: Bulgaria 1972 P6
June 21, 2021
geometry3D geometrytetrahedroninequalitiesgeometrical inequalities
Problem Statement
It is given a tetrahedron for which two points of opposite edges are mutually perpendicular. Prove that:(a) the four altitudes of intersects at a common point ;
(b) , where is the sum of the lengths of all edges of and is the radii of the sphere circumscribed around .H. Lesov