Hi,

Is this a legitimate proof of the Pythagorean theorem?

We know that Pythagorean triplesa,b,c, such that a^2 +b^2 = c^2.

We know that that a = 2n+1, b= 2n(n+1), and c = 2n(n+1) + 1 for finding Pythagorean triples.

If you substitute these into the formula a^2 + b^2 = c^2, expand and collect like terms to show they are equal, would this be considered a proof?

Thanks!