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ratio of edges when dihedral angles are given, in a tetrahedron

Source: Sharygin 2006 XI CR 25

August 26, 2019
geometry3D geometrytetrahedronratioangles

Problem Statement

In the tetrahedron ABCDABCD , the dihedral angles at the BC,CDBC, CD, and DADA edges are equal to α\alpha, and for the remaining edges equal to β\beta. Find the ratio AB/CDAB / CD.
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