gluing a quadrilateral pyramid with a regular tetrahedron of equal edges
Source: Flanders Math Olympiad 2008 p3
December 24, 2022
geometry3D geometrytetrahedronpyramid
Problem Statement
A quadrilateral pyramid and a regular tetrahedron have edges that are all equal in length. They are glued together so that they have in common equilateral triangle . Prove that the resulting body has exactly sides.