MathDB
Regular tetrahedron can be an obtuse-angled triangle

Source: IMO Shortlist 1989, Problem 21, ILL 67

September 18, 2008
geometry3D geometrytetrahedronanglegeometric inequalityIMO Shortlist

Problem Statement

Prove that the intersection of a plane and a regular tetrahedron can be an obtuse-angled triangle and that the obtuse angle in any such triangle is always smaller than 120∘. 120^{\circ}.