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?
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.