no, The Pythagorean thrm states theconnectionbetween the side lengths of right triangles and thealgebraic equation, namely that every right triangle has side lengths satisfying the equation. What you are doing is merely proving that a = 2n+1, b= 2n(n+1), and c = 2n(n+1) + 1 satisfies thealgebraic equation. In order to prove the Pythagorean thrm for positive integer triples satisfying thealgebraic equation, show me that you can use the positive numbers in the tuple (a,b,c) to construct aright triangleORshow that every right triangle has side lengths satisfying