# Pythagorean Triplet in C#

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

1 | ```
exercism fetch csharp 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.

### Submitting Exercises

Note that, when trying to submit an exercise, make sure the exercise file that you're submitting is in the `exercism/csharp/<exerciseName>`

directory.

For example, if you're submitting `bob.cs`

for the Bob exercise, the submit command would be something like `exercism submit <path_to_exercism_dir>/csharp/bob/bob.cs`

.

## 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.