57 lines
1.1 KiB
Markdown
57 lines
1.1 KiB
Markdown
---
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id: 5900f41c1000cf542c50ff2f
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challengeType: 5
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title: 'Problem 176: Right-angled triangles that share a cathetus'
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---
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## Description
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<section id='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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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler176()</code> should return 96818198400000.
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testString: assert.strictEqual(euler176(), 96818198400000, '<code>euler176()</code> should return 96818198400000.');
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler176() {
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// Good luck!
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return true;
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}
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euler176();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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