tetrahedrons, minimum sum of volumes
Source: Bulgaria 1973 P6
June 20, 2021
geometry3D geometrytetrahedroninequalitiesGeometric Inequalities
Problem Statement
In the tetrahedron , and are the midpoints of and , is the midpoint of the segment . Construct a plane through intersecting the segments , , in the points respectively in such a way that the sum of the volumes of the tetrahedrons , and to be minimal.H. Lesov