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

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June 6, 2011
geometry3D geometrytetrahedron

Problem Statement

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.
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