64 lines
1.0 KiB
Markdown
64 lines
1.0 KiB
Markdown
---
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id: 5900f4311000cf542c50ff43
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challengeType: 5
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title: 'Problem 195: Inscribed circles of triangles with one angle of 60 degrees'
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forumTopicId: 301833
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---
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## Description
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<section id='description'>
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Let's call an integer sided triangle with exactly one angle of 60 degrees a 60-degree triangle.
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Let r be the radius of the inscribed circle of such a 60-degree triangle.
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There are 1234 60-degree triangles for which r ≤ 100.
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Let T(n) be the number of 60-degree triangles for which r ≤ n, so
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T(100) = 1234, T(1000) = 22767, and T(10000) = 359912.
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Find T(1053779).
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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>euler195()</code> should return 75085391.
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testString: assert.strictEqual(euler195(), 75085391);
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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 euler195() {
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return true;
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}
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euler195();
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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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