---
id: 5900f44b1000cf542c50ff5e
title: 'Problem 223: Almost right-angled triangles I'
challengeType: 5
forumTopicId: 301866
dashedName: problem-223-almost-right-angled-triangles-i
---

# --description--

Let us call an integer sided triangle with sides $a ≤ b ≤ c$ barely acute if the sides satisfy $a^2 + b^2 = c^2 + 1$.

How many barely acute triangles are there with perimeter $≤ 25\\,000\\,000$?

# --hints--

`almostRightAngledTrianglesOne()` should return `61614848`.

```js
assert.strictEqual(almostRightAngledTrianglesOne(), 61614848);
```

# --seed--

## --seed-contents--

```js
function almostRightAngledTrianglesOne() {

  return true;
}

almostRightAngledTrianglesOne();
```

# --solutions--

```js
// solution required
```