Pythagorean Triple
A Triple (a, b, c) of whole numbers that satisfies the Pythagorean equation [latex]a^{2} + b^{2} = c^{2}[/latex].
Examples
These are a few basic examples:- The triple (3, 4, 5) is a Pythagorean triple, since: [latex]3^{2} + 4^{2} = 5^{2}[/latex].
- The triple (4, 3, 5) is a Pythagorean triple, since: [latex]4^{2} + 3^{2} = 5^{2}[/latex].
- The triple (5, 3, 4) is not a Pythagorean triple, since: [latex]5^{2} + 3^{2} ≠ 4^{2}[/latex]