Pythagorean theorem in 3D

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Each edge of the large tetrahedron kite shown below is 50, space, c, m, and the vertical height h, equals, 40, point, 8, space, c, m.
What is the value of r (the distance from the center of the tetrahedron's base to a vertex of the base)?
r, space, equals
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
c, m
Round your answer to the nearest tenth.