22afc2a0ca
Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
71 lines
2.1 KiB
Markdown
71 lines
2.1 KiB
Markdown
---
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id: 5900f3c71000cf542c50feda
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challengeType: 5
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isHidden: false
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title: 'Problem 91: Right triangles with integer coordinates'
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forumTopicId: 302208
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---
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## Description
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<section id='description'>
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The points P (<var>x</var><sub>1</sub>, <var>y</var><sub>1</sub>) and Q (<var>x</var><sub>2</sub>, <var>y</var><sub>2</sub>) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
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<img class="img-responsive center-block" alt="a graph plotting points P (x_1, y_1) and Q(x_2, y_2) at integer coordinates that are joined to the origin O (0, 0)" src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-1.png" style="background-color: white; padding: 10px;">
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There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is, 0 ≤ <var>x</var><sub>1</sub>, <var>y</var><sub>1</sub>, <var>x</var><sub>2</sub>, <var>y</var><sub>2</sub> ≤ 2.
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<img class="img-responsive center-block" alt="a diagram showing the 14 triangles containing a right angle that can be formed when each coordinate is between 0 and 2" src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-2.png" style="background-color: white; padding: 10px;">
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Given that 0 ≤ <var>x</var><sub>1</sub>, <var>y</var><sub>1</sub>, <var>x</var><sub>2</sub>, <var>y</var><sub>2</sub> ≤ 50, how many right triangles can be formed?
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>rightTrianglesIntCoords()</code> should return a number.
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testString: assert(typeof rightTrianglesIntCoords() === 'number');
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- text: <code>rightTrianglesIntCoords()</code> should return 14234.
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testString: assert.strictEqual(rightTrianglesIntCoords(), 14234);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function rightTrianglesIntCoords() {
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// Good luck!
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return true;
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}
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rightTrianglesIntCoords();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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