Definition:Pythagorean Triple

Definition
A Pythagorean triple is an ordered triple of positive integers $\tuple {x, y, z}$ such that $x^2 + y^2 = z^2$.

That is, a Pythagorean triple is a solution to the Pythagorean equation.

Also known as
A Pythagorean triple is also known as a (set of) Pythagorean numbers.

Also see

 * Pythagoras's Theorem
 * Definition:Pythagorean Triangle
 * Definition:Pythagorean Equation
 * Solutions of Pythagorean Equation