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Square of Triangles (Posted on 2006-02-04) Difficulty: 4 of 5
Given a partition of a square into n triangles of equal area, prove that n is even.

No Solution Yet Submitted by Josh70679    
Rating: 2.0000 (2 votes)

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Even | Comment 15 of 21 |
(In reply to re(7): Part I - notation by Richard)

The question does not ask for proof of the converse but since Richard asks...

If  n is even, then it is easy to see that a square can be divided into n/2 equal rectangular stripes and each of these can be halved by a diagonal to give n triangles of equal area.

  Posted by goFish on 2006-02-05 15:09:57
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