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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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re: Is it really this simple? (Solution)

| Comment 3 of 5 |

Brian,

You can't start with the 3-4-5 triangle. In order to get an area of 5, you need to scale the sides by sqrt(5/6), which is irrational.

Posted by Steve Herman on 2019-03-31 12:14:19

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