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?
The answer is 10.
There are 4 right triangles as follows:
1 = (5, 13) 2 = (9, 15) 3 = (16, 20) 4 = (35, 37)
The 3rd side being 12 in each of above 4 triangles.