Hello, SeaN187!

No wonder you're stuck . . . There is no "neat" answer.Is there any relationship between the perimeter of a Pythagorean trangle and its area?

A Pythagorean Triple is of the form: . .where

. . Its perimeter is: .

. . Its area is: .

And there is no "neat" relationship between and

Another approach . . .

A Pythagorean Triple can be generated by:

. . for any positive integers .

So there are (and always will be)twoparameters (variables) in the problem.

The perimeter is: .

The area is: .

Again, no "neat" relationship between and

The best we can do is a ratio: .

Not much better . . .