# Pythagorean triangle ( "a" side)

## Description

A Pythagorean triangle is right angled and Heronian. Its three integer sides are known as a Pythagorean triple or Pythagorean triplet or Pythagorean triad. Euclid’s formula is a fundamental formula for generating Pythagorean triples given an arbitrary pair of positive integers m and n with m > n. All Pythagorean triples (a, b, c) with hypotenuse c which are primitive (the sides having no common factor) can be calculated by an arbitary pair of possitive numbers. There are 16 primitive Pythagorean triples with c ≤ 100:

(3, 4, 5) (5, 12, 13) (8, 15, 17) (7, 24, 25)

(20, 21, 29) (12, 35, 37) (9, 40, 41) (28, 45, 53)

(11, 60, 61) (16, 63, 65) (33, 56, 65) (48, 55, 73)

(13, 84, 85) (36, 77, 85) (39, 80, 89) (65, 72, 97)

## Variables

a | The side of the triangle ( positive integer) (dimensionless) |

m | Coprime integer m>n, m − n odd (dimensionless) |

n | Coprime integer n<m, m − n odd (dimensionless) |