Pythagorean Pyramid (Posted on 2004-04-26)

The pictured tetrahedron has four identical rectangular (i.e., right-angled or pythagorean) triangles as faces, with

AB=CD=p,
AC=BD=q,
AD=BC=r,
and p²+q²=r².

What's its volume, as a function of p, q and r?

See The Solution	Submitted by Federico Kereki
Rating: 4.1250 (8 votes)

Strange...

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