In a right triangle, all the sides are positive integers. One of the legs is equal to 180. How many different possible values are there for the hypotenuse?

Guest Dec 7, 2020

#1**+2 **

The better question is, "How many pythagorean triples are there which have one of the legs as 180, but not the hypotenuse?"

There are up to two of them, I believe.

One I know is {19,180,181}. That's one...

We can plug 180 into the pythagorean triple finder, and there are a couple rules here: https://primes.utm.edu/glossary/page.php?sort=PrmPythagTriples#:~:text=The%20square%20of%20the%20length,5%2C12%2C13).

Play around with that a little and tell us what you find!

Nacirema Dec 8, 2020