---
id: 5900f3f71000cf542c50ff0a
challengeType: 5
title: 'Problem 139: Pythagorean tiles'
---

## Description
<section id='description'>
Let (a, b, c) represent the three sides of a right angle triangle with integral length sides. It is possible to place four such triangles together to form a square with length c.
For example, (3, 4, 5) triangles can be placed together to form a 5 by 5 square with a 1 by 1 hole in the middle and it can be seen that the 5 by 5 square can be tiled with twenty-five 1 by 1 squares.


However, if (5, 12, 13) triangles were used then the hole would measure 7 by 7 and these could not be used to tile the 13 by 13 square.
Given that the perimeter of the right triangle is less than one-hundred million, how many Pythagorean triangles would allow such a tiling to take place?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler139()</code> should return 10057761.
    testString: 'assert.strictEqual(euler139(), 10057761, "<code>euler139()</code> should return 10057761.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler139() {
  // Good luck!
  return true;
}

euler139();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>