How many non-congruent right triangles are there, all of whose sides have positive integer lengths, and one of whose legs (i.e. not the hypotenuse) has length $162$?
Question:
How many non-congruent right triangles are there, all of whose sides have positive integer lengths, and one of whose legs (i.e. not the hypotenuse) has length $162$?
Answer:
Let's think step by step.

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How many non-congruent right triangles are there, all of whose sides have positive integer lengths, and one of whose legs (i.e. not the hypotenuse) has length $162$?
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