Hate to break it to you, but all right triangles of area 157 are the same size (at least according to real estate professionals).
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Try living in a 100ft by 1 ft - 100sq.ft room, instead of a 10 by 10 :)
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what's the deal with 157?

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maybe he just liked this number
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Ok but that doesn't have area 157???
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And 157=39·4+1 is a Pythagorean prime (prime of form 4n + 1)
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What does "smallest" mean here? Smallest perimeter? Smallest largest denominator? Something else?
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I don't understand. It certainly isn't the smallest right triangle with rational sides, (3,4,5 is smaller although not the smallest) So, what do you mean smallest right triangle with area 157?
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What do you mean by "smallest?"
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