## Pythagorean Triple

Pythagorean triples are integer solutions (x,y,z) of the equation

**x**^{2} + y^{2} = z^{2} ,

standing for the sides of right-angled triangles.

The program computes all coprime Pythagorean triples not bigger than a determined number.

### Example:

With x, y, z < 60 you get:

( 3, 4, 5 ) ( 5, 12, 13 )
( 8, 15, 17 ) ( 7, 24, 25 )
( 20, 21, 29 ) ( 9, 40, 41 )
( 12, 35, 37 ) ( 28, 45, 53 )

An application of Pythagorean triples is the twelve-knot cord, with which
a right-angled triangle of sides 3, 4 and 5 can be marked.

### See also:

Wikipedia: Pythagorean triple |

Pythagorean theorem |

Knotted Cord