---
id: 5900f4de1000cf542c50fff1
challengeType: 5
title: '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 ?
## Instructions
## Tests
```yml
tests:
- text: euler370() should return 41791929448408.
testString: assert.strictEqual(euler370(), 41791929448408, 'euler370() should return 41791929448408.');
```
## Challenge Seed
```js
function euler370() {
// Good luck!
return true;
}
euler370();
```