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Minimum area of a triangle (Posted on 2008-07-30) Difficulty: 3 of 5
Find the minimum area of a triangle whose sides and altitudes are six different integers.

See The Solution Submitted by pcbouhid    
Rating: 2.0000 (2 votes)

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re(3): Computer Solution | Comment 6 of 10 |
(In reply to re(2): Computer Solution by Charlie)

The triangle itself isn't to be a right triangle, but the altitude would be one leg of two right triangles where each side sharing one vertex would each be the hypotenuse of a right triangle. The remaining side would be the sum of the other two legs of the two right triangles.  Thus, one would need find a three pairs of Pythagorean triplets where each hypotenuse and each leg are shared and the sum of two legs would equal the hypotenuse of two.

The 'solution' given by Bractals doesn't fit that pattern.


  Posted by Dej Mar on 2008-07-31 01:50:55
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