A Dihedral Circumsphere

7/10solid geometrySymmetry

Problem

The base of the tetrahedron P-ABCP\text{-}ABC is an equilateral triangle of side 22. Given PA=PB=2PA = PB = \sqrt{2} and that the dihedral angle P-BA-CP\text{-}BA\text{-}C measures 6060^\circ, find the circumradius RR of the tetrahedron P-ABCP\text{-}ABC.

Answer

Solution

Difficulty7/10
Topicssolid geometry, Symmetry

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