1988.10.2

Part of Kyiv City MO 1984-93 - geometry

Problems(1)

2 triplets of edges of tetrahedron form a triangle 1988 Kyiv City MO 10.2

Source:

Given an arbitrary tetrahedron. Prove that its six edges can be divided into two triplets so that from each triple it was possible to form a triangle.

geometry3D geometrytetrahedrontriangle inequality