79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
65 lines
1.1 KiB
Markdown
65 lines
1.1 KiB
Markdown
---
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id: 5900f4f21000cf542c510005
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challengeType: 5
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title: 'Problem 390: Triangles with non rational sides and integral area'
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---
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## Description
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<section id='description'>
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Consider the triangle with sides √5, √65 and √68.
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It can be shown that this triangle has area 9.
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S(n) is the sum of the areas of all triangles with sides √(1+b2), √(1+c2) and √(b2+c2) (for positive integers b and c ) that have an integral area not exceeding n.
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The example triangle has b=2 and c=8.
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S(106)=18018206.
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Find S(1010).
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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>euler390()</code> should return 2919133642971.
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testString: assert.strictEqual(euler390(), 2919133642971, '<code>euler390()</code> should return 2919133642971.');
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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 euler390() {
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// Good luck!
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return true;
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}
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euler390();
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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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