---
id: 5900f3c71000cf542c50feda
challengeType: 5
title: 'Problem 91: Right triangles with integer coordinates'
forumTopicId: 302208
---

## Description
<section id='description'>
The points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.




There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is,0 ≤ x1, y1, x2, y2 ≤ 2.




Given that 0 ≤ x1, y1, x2, y2 ≤ 50, how many right triangles can be formed?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler91()</code> should return 14234.
    testString: assert.strictEqual(euler91(), 14234);

```

</section>

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

<div id='js-seed'>

```js
function euler91() {
  // Good luck!
  return true;
}

euler91();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>