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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 8 of 8 |
(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

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