Tetrahedron

A point inside a regular tetrahedron is at distances 11, 21, 24, 25 from vertices.
What is the side of this tetrahedron ?
Solution

Find a point inside the tetrahedron with side 69, at integral distances from all vertices.
Solution

Find all regular tetrahedrons with integral sides <100 which have an inside point with integral distance to vertices.
Solution

Details

 

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