---
id: 5900f4de1000cf542c50fff1
title: 'Problem 370: Geometric triangles'
challengeType: 5
forumTopicId: 302032
dashedName: 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`.

```js
assert.strictEqual(geometricTriangles(), 41791929448408);
```

# --seed--

## --seed-contents--

```js
function geometricTriangles() {

  return true;
}

geometricTriangles();
```

# --solutions--

```js
// solution required
```