---
id: 5900f41c1000cf542c50ff2f
challengeType: 5
title: 'Problem 176: Right-angled triangles that share a cathetus'
---

## Description
<section id='description'>
The four right-angled triangles with sides (9,12,15), (12,16,20), (5,12,13) and (12,35,37) all have one of the shorter sides (catheti) equal to 12. It can be shown that no other integer sided right-angled triangle exists with one of the catheti equal to 12.
Find the smallest integer that can be the length of a cathetus of exactly 47547 different integer sided right-angled triangles.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler176()</code> should return 96818198400000.
    testString: assert.strictEqual(euler176(), 96818198400000);

```

</section>

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

<div id='js-seed'>

```js
function euler176() {
  // Good luck!
  return true;
}

euler176();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>