# Pythagorean Triplet in F#

#### There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product a * b * c.

1 | ```
exercism fetch fsharp pythagorean-triplet
``` |

# Pythagorean Triplet

A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for which,

1 |
```
a**2 + b**2 = c**2
``` |

For example,

1 |
```
3**2 + 4**2 = 9 + 16 = 25 = 5**2.
``` |

There exists exactly one Pythagorean triplet for which a + b + c = 1000.

Find the product a * b * c.

## Source

Problem 9 at Project Euler http://projecteuler.net/problem=9

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.