Find any three positive integers (a, b, c, where c is the largest of the three) that satisfy the pythagoras theorem c² = a² + b². Can you find any formula of finding such triples?

Pythagorean triples are any three positive integers (a, b, c) that completely satisfy the Pythagorean Theorem. The three sides of a right triangle form the Pythagorean triples. ‘c’ is the ‘hypotenuse’ or the longest side of the triangle and ‘a’ and ‘b’ are the other two legs of the right-angled triangle. The triples like (3, 4, 5) and (6, 8, 10) are Pythagorean triples because they satisfy the Pythagoras theorem and are side lengths of a right triangle

If ΔABC is aright triangle, then 5² = 3² + 4²
25 = 25
Hence, (3, 4, 5) are Pythagorean triples

If ΔDEF is a right triangle, then
10² = 6² + 8²
100 = 100
Hence, (6, 8, 10) are Pythagorean triples.