The Pythagorean Theorem and the Distance Formula
Concept

Pythagorean Triple

A Pythagorean triple, commonly written as is a set of three natural numbers that satisfy the Pythagorean Theorem.
A right triangle can be drawn using the numbers of a Pythagorean triple as its side lengths. The lowest valued set of numbers that form a Pythagorean triple are and There are infinitely many Pythagorean triples. The following table shows a few.
Triple Substitute in Simplify

If is a Pythagorean triple, then so is for any natural number