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6 is easy - 5 & 7 not quite ! (Posted on 2019-03-31)

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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Part 2 (spoiler)

| Comment 4 of 5 |

I got this answer (and the part 1 answer) by examining Pythagorean triples.

The (175,288,337) right triangle has an area of 25200 = 7 * 3600,

so (175/60, 288/60, 337/60) has an area of 7.

Reducing gives (35/12, 24/5, 337/60) as an answer

Posted by Steve Herman on 2019-03-31 12:43:29

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