freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-102-triangle-containment.english.md

---
id: 5900f3d21000cf542c50fee5
challengeType: 5
title: 'Problem 102: Triangle containment'
forumTopicId: 301726
---

## Description
<section id='description'>
Three distinct points are plotted at random on a Cartesian plane, for which -1000 ≤ x, y ≤ 1000, such that a triangle is formed.
Consider the following two triangles:
A(-340,495), B(-153,-910), C(835,-947)
X(-175,41), Y(-421,-714), Z(574,-645)
It can be verified that triangle ABC contains the origin, whereas triangle XYZ does not.
Using triangles.txt (right click and 'Save Link/Target As...'), a 27K text file containing the coordinates of one thousand "random" triangles, find the number of triangles for which the interior contains the origin.
NOTE: The first two examples in the file represent the triangles in the example given above.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler102()</code> should return 228.
    testString: assert.strictEqual(euler102(), 228);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler102() {

  return true;
}

euler102();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>