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---
id: 5900f3d21000cf542c50fee5
title: 'Problem 102: Triangle containment'
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challengeType: 5
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forumTopicId: 301726
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dashedName: problem-102-triangle-containment
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---
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# --description--
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Three distinct points are plotted at random on a Cartesian plane, for which -1000 ≤ x, y ≤ 1000, such that a triangle is formed.
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Consider the following two triangles:
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A(-340,495), B(-153,-910), C(835,-947)
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X(-175,41), Y(-421,-714), Z(574,-645)
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It can be verified that triangle ABC contains the origin, whereas triangle XYZ does not.
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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.
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NOTE: The first two examples in the file represent the triangles in the example given above.
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# --hints--
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`euler102()` should return 228.
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```js
assert.strictEqual(euler102(), 228);
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```
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# --seed--
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## --seed-contents--
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```js
function euler102() {
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return true;
}
euler102();
```
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# --solutions--
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```js
// solution required
```
