62 lines
1.1 KiB
Markdown
62 lines
1.1 KiB
Markdown
---
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id: 5900f4de1000cf542c50fff1
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challengeType: 5
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title: 'Problem 370: Geometric triangles'
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---
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## Description
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<section id='description'>
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Let us define a geometric triangle as an integer sided triangle with sides a ≤ b ≤ c so that its sides form a geometric progression, i.e. b2 = a · c .
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An example of such a geometric triangle is the triangle with sides a = 144, b = 156 and c = 169.
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There are 861805 geometric triangles with perimeter ≤ 106 .
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How many geometric triangles exist with perimeter ≤ 2.5·1013 ?
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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>euler370()</code> should return 41791929448408.
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testString: 'assert.strictEqual(euler370(), 41791929448408, "<code>euler370()</code> should return 41791929448408.");'
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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 euler370() {
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// Good luck!
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return true;
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}
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euler370();
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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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