# Pythagorean Triplet in Ruby

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

1 | ```
exercism fetch ruby 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.

For installation and learning resources, refer to the exercism help page.

For running the tests provided, you will need the Minitest gem. Open a terminal window and run the following command to install minitest:

1 |
```
gem install minitest
``` |

If you would like color output, you can `require 'minitest/pride'`

in
the test file, or note the alternative instruction, below, for running
the test file.

Run the tests from the exercise directory using the following command:

1 |
```
ruby pythagorean_triplet_test.rb
``` |

To include color from the command line:

1 |
```
ruby -r minitest/pride pythagorean_triplet_test.rb
``` |

## 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.