---
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. b2 = a · c .

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

There are 861805 geometric triangles with perimeter ≤ 106 .

How many geometric triangles exist with perimeter ≤ 2.5·1013 ?

# --hints--

`euler370()` should return 41791929448408.

```js
assert.strictEqual(euler370(), 41791929448408);
```

# --seed--

## --seed-contents--

```js
function euler370() {

  return true;
}

euler370();
```

# --solutions--

```js
// solution required
```