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Pythagorean Pyramid (Posted on 2004-04-26) Difficulty: 3 of 5
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 p+q=r.

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






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

Comments: ( Back to comment list | You must be logged in to post comments.)
Another View | Comment 5 of 15 |
Make rectangle ABCD, this satifies the conditions. The 'volume' is zero.

On cannot "stretch" this rectangle into 3-dimensions without altering either the angles or the sides.

-Jer
  Posted by Jer on 2004-04-26 12:11:38
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