79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
61 lines
1.4 KiB
Markdown
61 lines
1.4 KiB
Markdown
---
|
|
id: 5900f41e1000cf542c50ff30
|
|
challengeType: 5
|
|
title: 'Problem 177: Integer angled Quadrilaterals'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
Let ABCD be a convex quadrilateral, with diagonals AC and BD. At each vertex the diagonal makes an angle with each of the two sides, creating eight corner angles.
|
|
|
|
For example, at vertex A, the two angles are CAD, CAB.
|
|
We call such a quadrilateral for which all eight corner angles have integer values when measured in degrees an "integer angled quadrilateral". An example of an integer angled quadrilateral is a square, where all eight corner angles are 45°. Another example is given by DAC = 20°, BAC = 60°, ABD = 50°, CBD = 30°, BCA = 40°, DCA = 30°, CDB = 80°, ADB = 50°.
|
|
What is the total number of non-similar integer angled quadrilaterals?
|
|
Note: In your calculations you may assume that a calculated angle is integral if it is within a tolerance of 10-9 of an integer value.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler177()</code> should return 129325.
|
|
testString: assert.strictEqual(euler177(), 129325, '<code>euler177()</code> should return 129325.');
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler177() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler177();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|