fix(challenge-md): Fix file names and preserve challenge order in meta.json
This commit is contained in:
@ -0,0 +1,66 @@
|
||||
---
|
||||
id: 5900f46e1000cf542c50ff80
|
||||
challengeType: 5
|
||||
title: 'Problem 257: Angular Bisectors'
|
||||
---
|
||||
|
||||
## Description
|
||||
<section id='description'>
|
||||
Given is an integer sided triangle ABC with sides a ≤ b ≤ c.
|
||||
(AB = c, BC = a and AC = b).
|
||||
The angular bisectors of the triangle intersect the sides at points E, F and G (see picture below).
|
||||
|
||||
|
||||
|
||||
|
||||
The segments EF, EG and FG partition the triangle ABC into four smaller triangles: AEG, BFE, CGF and EFG.
|
||||
It can be proven that for each of these four triangles the ratio area(ABC)/area(subtriangle) is rational.
|
||||
However, there exist triangles for which some or all of these ratios are integral.
|
||||
|
||||
|
||||
How many triangles ABC with perimeter≤100,000,000 exist so that the ratio area(ABC)/area(AEG) is integral?
|
||||
</section>
|
||||
|
||||
## Instructions
|
||||
<section id='instructions'>
|
||||
|
||||
</section>
|
||||
|
||||
## Tests
|
||||
<section id='tests'>
|
||||
|
||||
```yml
|
||||
- text: <code>euler257()</code> should return 139012411.
|
||||
testString: 'assert.strictEqual(euler257(), 139012411, ''<code>euler257()</code> should return 139012411.'');'
|
||||
|
||||
```
|
||||
|
||||
</section>
|
||||
|
||||
## Challenge Seed
|
||||
<section id='challengeSeed'>
|
||||
|
||||
<div id='js-seed'>
|
||||
|
||||
```js
|
||||
function euler257() {
|
||||
// Good luck!
|
||||
return true;
|
||||
}
|
||||
|
||||
euler257();
|
||||
```
|
||||
|
||||
</div>
|
||||
|
||||
|
||||
|
||||
</section>
|
||||
|
||||
## Solution
|
||||
<section id='solution'>
|
||||
|
||||
```js
|
||||
// solution required
|
||||
```
|
||||
</section>
|
Reference in New Issue
Block a user