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---
id: 5900f41c1000cf542c50ff2f
title: 'Problem 176: Right-angled triangles that share a cathetus'
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challengeType: 5
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forumTopicId: 301811
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dashedName: problem-176-right-angled-triangles-that-share-a-cathetus
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---
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# --description--
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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.
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Find the smallest integer that can be the length of a cathetus of exactly 47547 different integer sided right-angled triangles.
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# --hints--
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`euler176()` should return 96818198400000.
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```js
assert.strictEqual(euler176(), 96818198400000);
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```
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# --seed--
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## --seed-contents--
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```js
function euler176() {
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return true;
}
euler176();
```
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# --solutions--
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```js
// solution required
```
