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angle between planes ABC' and ACD; tetrahedron tetrahedron inscribed in sphere

Source: TOT 539 1997 Spring S O4 - - Tournament Of Towns

September 11, 2024
geometry3D geometrytetrahedronsphereangles

Problem Statement

All edges of a tetrahedron ABCDABCD are equal. The tetrahedron ABCDABCD is inscribed in a sphere. CC′CC' and DD′DD' are diameters. Find the angle between the planes ABCABC' and ACD′ACD'.
(A Zaslavskiy)
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