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Regular Tetrahedron 1234 (Posted on 2012-03-08) Difficulty: 3 of 5
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?

No Solution Yet Submitted by K Sengupta    
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re(2): Is it possible? | Comment 3 of 8 |
(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

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