olymmath

HMMT 1999 G9

  • Geometry
  • Answer

A regular tetrahedron has two vertices on the body diagonal of a cube with side length 12 . The other two vertices lie on one of the face diagonals not intersecting that body diagonal. Find the side length of the tetrahedron.

Dataset text NuminaMath olympiads. Quoted with source.

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4\sqrt{3}

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