MathDB

7

Part of 1973 IMO Longlists

Problems(1)

Triangle with sides x = AB · CD, y = AC · BD and z = AD · BC

Source:

6/6/2011
Given a tetrahedron ABCDABCD. Let x=AB⋅CD,y=AC⋅BDx = AB \cdot CD, y = AC \cdot BD and z=AD⋅BCz = AD\cdot BC. Prove that there exists a triangle with the side lengths x,yx, y and zz.
geometry3D geometrytetrahedron