SOLUTION: In tetrahedron ABCO,angle AOB = angle AOC = angle BOC = 90degree.A cube is inscribed in the tetrahedron so that one of its vertices is at O,and the opposite vertex lies on face ABC
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Question 1207756: In tetrahedron ABCO,angle AOB = angle AOC = angle BOC = 90degree.A cube is inscribed in the tetrahedron so that one of its vertices is at O,and the opposite vertex lies on face ABC.Let a = OA, b = OB,and c = OC.$ Show that the side length of the cube is
abc/(ab + ac + bc) Answer by Alan3354(69443) (Show Source):