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How many non-congruent right triangles are there, all of whose sides are poisitve integer lengths, and one of whsoe legs (i.e. not the hypotenuse) has length 12?

 Jan 7, 2023
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There are 4 such right triangles:

 

1 = (5, 13)
2 = (9, 15)
3 = (16, 20)
4 = (35, 37)

 

 

The 3rd side of all 4 above is 12, of course.

 Jan 8, 2023

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