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One of a kind (Posted on 2014-07-27) Difficulty: 3 of 5
Find a triangle with integer sides and medians.

There exists only one generic solution!

See The Solution Submitted by Ady TZIDON    
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re(2): contradictions? Yes, Sir Comment 3 of 3 |
(In reply to re: contradictions? Yes, Sir by Ady TZIDON)

(127, 131, 158), in addition to being the medians of the previous triangle, also, when used as the sides of a triangle, leads to rational medians:     130.5,    127.5,  102 .  The sides just need to be doubled to get integral medians, like the rest of the examples.                          

  Posted by Charlie on 2014-07-28 09:56:37
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