Pythagorean Triples If a, b, c are positive integers such that a² + b = 2, then (a, b, c) is called a Pythagorean triple. (a) Let m and n be positive integers with m>n. Let a = m² – n°, b = 2mn, and c = m² + n°. Show that (a, b, c) is a Pythagorean triple. (b) Use part (a) to find the rest of the Pythagorean triples in the table. (а,b, с) (3, 4, 5) (8, 6, 10) 2 3 3 4 4 4 3 5 5 2 5 3 5 4

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