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No and Yes A regular tetrahedron does not have any faces that are perpendicular to each other. (Regular in this sense means all edges are equally long - all faces are equilateral triangles)

You can construct a irregular tetrahedron with two or three perpencdicular faces. To make such a tetrahedron with three faces perpendicular, simply cut the corner of a cube.

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Q: Does a tetrahedron have perpendicular faces?
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