A Tetrahedron with Edges of Given Length
This Demonstration constructs a tetrahedron with edges of given length using a Cayley–Menger determinant.
The Cayley–Menger determinant gives the volume of a simplex in dimensions.
gives the area for a plane triangle and is a form of Heron's formula.
gives the content of the 3-simplex, that is, the volume of the general tetrahedron.