---
id: 5900f4911000cf542c50ffa3
challengeType: 5
title: 'Problem 292: Pythagorean Polygons'
forumTopicId: 301944
---

## Description
<section id='description'>
We shall define a pythagorean polygon  to be a convex polygon with the following properties:there are at least three vertices,
no three vertices are aligned,
each vertex has integer coordinates,
each edge has integer length.For a given integer n, define P(n) as the number of distinct pythagorean polygons for which the perimeter is ≤ n.
Pythagorean polygons should be considered distinct as long as none is a translation of another.

You are given that P(4) = 1, P(30) = 3655 and P(60) = 891045.
Find P(120).
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler292()</code> should return 3600060866.
    testString: assert.strictEqual(euler292(), 3600060866);

```

</section>

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

<div id='js-seed'>

```js
function euler292() {

  return true;
}

euler292();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>