freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-138-special-isosceles-triangles.md

id, title, challengeType, forumTopicId

id	title	challengeType	forumTopicId
5900f3f61000cf542c50ff09	Problem 138: Special isosceles triangles	5	301766

--description--

Consider the isosceles triangle with base length, b = 16, and legs, L = 17.

By using the Pythagorean theorem it can be seen that the height of the triangle, h = √(172 − 82) = 15, which is one less than the base length. With b = 272 and L = 305, we get h = 273, which is one more than the base length, and this is the second smallest isosceles triangle with the property that h = b ± 1. Find ∑ L for the twelve smallest isosceles triangles for which h = b ± 1 and b, L are positive integers.

--hints--

euler138() should return 1118049290473932.

assert.strictEqual(euler138(), 1118049290473932);

--seed--

--seed-contents--

function euler138() {

  return true;
}

euler138();

--solutions--

// solution required