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 Bractals)

"For a regular tetrahedron all six edges must have the same length."

I used the fact that the six edges must have the same length.  I showed that the only length they can all have is 3.  Then I showed this cannot lead to a tetrahedron.

Posted by Jer on 2012-03-08 16:45:41