Show that an integer sided Pythagorean triangle can have atmost one perfect square side
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
In your other thread
you posted a link.
It proves there are no solutions to the diophantine equation.
with a,b,c being positive integers by the method of infinite descent. Do you see how to apply it here?
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.