freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-91-right-triangles-...

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---
id: 5900f3c71000cf542c50feda
challengeType: 5
title: 'Problem 91: Right triangles with integer coordinates'
---
## 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, "<code>euler91()</code> should return 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>