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6 is easy - 5 & 7 not quite ! (Posted on 2019-03-31) Difficulty: 4 of 5
1. Find a right triangle having area 5 and rational sides.
2. Same task for area=7.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Solution Part 1 (spoiler) | Comment 1 of 5
The (9,40,41) right triangle has an area of 180 = 5 * 36,
so (9/6, 40/6, 41/6) has an area of 5.

Reducing gives (3/2, 20/3, 41/6) as an answer

  Posted by Steve Herman on 2019-03-31 11:24:48
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