The pictured tetrahedron has four identical rectangular (i.e., rightangled 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?
I like Geometry a lot, but I'd never heard about such a tetrahedron! I
already have half an answer: 1/6 times p times q times the height 
all I need now is the hegith and I'm done! ;)

Posted by Oskar
on 20040426 09:28:51 