---
id: 5900f4f21000cf542c510005
challengeType: 5
title: 'Problem 390: Triangles with non rational sides and integral area'
---
## Description
Consider the triangle with sides √5, √65 and √68.
It can be shown that this triangle has area 9.
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.
The example triangle has b=2 and c=8.
S(106)=18018206.
Find S(1010).
## Instructions
## Tests
```yml
tests:
- text: euler390() should return 2919133642971.
testString: assert.strictEqual(euler390(), 2919133642971, 'euler390() should return 2919133642971.');
```
## Challenge Seed
```js
function euler390() {
// Good luck!
return true;
}
euler390();
```