# Pythagorean Triple

## Pythagorean Triple

A Triple (a, b, c) of whole numbers that satisfies the Pythagorean equation $$a^{2} + b^{2} = c^{2}$$.

### Examples

These are a few basic examples:

• The triple (3, 4, 5) is a Pythagorean triple, since: $$3^{2} + 4^{2} = 5^{2}$$.
• The triple (4, 3, 5) is a Pythagorean triple, since: $$4^{2} + 3^{2} = 5^{2}$$.
• The triple (5, 3, 4) is not a Pythagorean triple, since: $$5^{2} + 3^{2} ≠ 4^{2}$$

Other examples of Pythagorean triples are: (8, 15, 17), (20, 21, 29), (9, 40, 41), (11, 60, 61), (48, 55, 73), (36. 77, 85), (65, 72, 97).