---
id: 5900f41c1000cf542c50ff2f
challengeType: 5
title: 'Problem 176: Right-angled triangles that share a cathetus'
---
## 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.
## Instructions
## Tests
```yml
tests:
- text: euler176() should return 96818198400000.
testString: 'assert.strictEqual(euler176(), 96818198400000, "euler176() should return 96818198400000.");'
```
## Challenge Seed
```js
function euler176() {
// Good luck!
return true;
}
euler176();
```