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?
"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