A regular tetrahedron lies with its four vertices at respective distances from the origin as 1, 2, 3 and 4 units. What is the length of each edge of the tetrahedron?

(In reply to re: Is it possible? by xdog)

No.  I've proven that the only possible side length is 3 because the length must be in both intervals [1,3] and [3,5].  

(Real length I suppose.  Not sure what Dej Mar is getting at.)

Posted by Jer on 2012-03-10 00:39:08