MathDB

25

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

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

Source: Sharygin 2006 XI CR 25

8/26/2019
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.
geometry3D geometrytetrahedronratioangles