Question: Find two different integer side-length right triangles (i.e., Pythagorean triples) whose hypotenuse is the same. I found two different Pythagorean Triples by trial and error

Find two different integer side-length right triangles (i.e., Pythagorean triples) whose hypotenuse is the same.

I found two different Pythagorean Triples by trial and error and referencing a list of Pythagorean triple.

65^2 =16^2 + 63^2

65^2 = 33^2 + 56^2

I was wondering if there was a formula that can produce two different a, b in a Pythagorean triple but have the same c. But a different answer to the one I have above?

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