A Tetrahedron with Edges of Given Length

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This Demonstration constructs a tetrahedron with edges of given length using a Cayley–Menger determinant.

Contributed by: Izidor Hafner (October 2016)
Open content licensed under CC BY-NC-SA


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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.



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