49 lines
853 B
Markdown
49 lines
853 B
Markdown
---
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id: 5900f4f21000cf542c510005
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title: 'Problem 390: Triangles with non rational sides and integral area'
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challengeType: 5
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forumTopicId: 302055
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dashedName: problem-390-triangles-with-non-rational-sides-and-integral-area
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---
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# --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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# --hints--
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`euler390()` should return 2919133642971.
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```js
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assert.strictEqual(euler390(), 2919133642971);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler390() {
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return true;
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}
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euler390();
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```
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# --solutions--
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```js
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// solution required
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```
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