MathDB
plane bisects volume of tetrahedron

Source: Polish MO second round 1952 p6

August 28, 2024
geometry3D geometrytetrahedron

Problem Statement

Prove that a plane that passes:
a) through the centers of two opposite edges of the tetrahedron and
b) through the center of one of the other edges of the tetrahedron
divides the tetrahedron into two parts of equal volumes.
Will the thesis remain true if we reject assumption (b) ?
Back to ProblemsView on AoPS