freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-370-geometric-triangles.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4de1000cf542c50fff1	Problem 370: Geometric triangles	5	302032	problem-370-geometric-triangles

--description--

Let us define a geometric triangle as an integer sided triangle with sides a ≤ b ≤ c so that its sides form a geometric progression, i.e. b^2 = a \times c.

An example of such a geometric triangle is the triangle with sides a = 144, b = 156 and c = 169.

There are 861\\,805 geometric triangles with \text{perimeter} ≤ {10}^6.

How many geometric triangles exist with \text{perimeter} ≤ 2.5 \times {10}^{13}?

--hints--

geometricTriangles() should return 41791929448408.

assert.strictEqual(geometricTriangles(), 41791929448408);

--seed--

--seed-contents--

function geometricTriangles() {

  return true;
}

geometricTriangles();

--solutions--

// solution required