# Pythagorean Triplet in Python

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

1 | ```
exercism fetch python 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.

## Exception messages

Sometimes it is necessary to raise an exception. When you do this, you should include a meaningful error message to indicate what the source of the error is. This makes your code more readable and helps significantly with debugging. Not every exercise will require you to raise an exception, but for those that do, the tests will only pass if you include a message.

To raise a message with an exception, just write it as an argument to the exception type. For example, instead of
`raise Exception`

, you shold write:

1 |
```
raise Exception("Meaningful message indicating the source of the error")
``` |

## Submitting Exercises

Note that, when trying to submit an exercise, make sure the solution is in the `$EXERCISM_WORKSPACE/python/pythagorean-triplet`

directory.

You can find your Exercism workspace by running `exercism debug`

and looking for the line that starts with `Workspace`

.

For more detailed information about running tests, code style and linting, please see the help page.

## 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.