ants on surface a tetrahedron, distance inequality
Source: 2018 Oral Moscow Geometry Olympiad grades 10-11 p5
July 25, 2019
geometry3D geometrytetrahedroninequalitiesgeometric inequality
Problem Statement
Two ants sit on the surface of a tetrahedron. Prove that they can meet by breaking the sum of a distance not exceeding the diameter of a circle is circumscribed around the edge of a tetrahedron.