freeCodeCamp/curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-390-triangles-with-non-rational-sides-and-integral-area.md

id	title	challengeType	forumTopicId	dashedName
5900f4f21000cf542c510005	Problem 390: Triangles with non rational sides and integral area	5	302055	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).

--hints--

euler390() should return 2919133642971.

assert.strictEqual(euler390(), 2919133642971);

--seed--

--seed-contents--

function euler390() {

  return true;
}

euler390();

--solutions--

// solution required