66 lines
1.1 KiB
Markdown
66 lines
1.1 KiB
Markdown
---
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id: 5900f3c71000cf542c50feda
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challengeType: 5
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title: 'Problem 91: Right triangles with integer coordinates'
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---
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## Description
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<section id='description'>
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The points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
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There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is,0 ≤ x1, y1, x2, y2 ≤ 2.
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Given that 0 ≤ x1, y1, x2, y2 ≤ 50, how many right triangles can be formed?
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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>euler91()</code> should return 14234.
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testString: assert.strictEqual(euler91(), 14234, '<code>euler91()</code> should return 14234.');
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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 euler91() {
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// Good luck!
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return true;
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}
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euler91();
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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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