624 B
624 B
title
| title |
|---|
| Pythagorean Triples |
Pythagorean Triples
A pythagorean triple is a set of three numbers, a, b, and c, that satisfies the equation a^2 + b^2 = c^2. When a triangle is made with side lengths equal to a, b, and c, it will be a right triangle.
The smallest pythagorean triple is 3,4,5. There is an infinite number of these pythagorean triples. They can be constructed using the following process:
When m and n are positive integers such that m is less than n:
- a =
n^2 - m^2 - b =
2nm - c =
n^2 + m^2
Then a, b, and c will form a pythagorean triple. The formula above is known as Euclid's formula.