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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-292-pythagorean-polygons.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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Markdown

---
id: 5900f4911000cf542c50ffa3
title: 'Problem 292: Pythagorean Polygons'
challengeType: 5
forumTopicId: 301944
dashedName: problem-292-pythagorean-polygons
---
# --description--
We shall define a pythagorean polygon to be a convex polygon with the following properties:there are at least three vertices,
no three vertices are aligned,
each vertex has integer coordinates,
each edge has integer length.For a given integer n, define P(n) as the number of distinct pythagorean polygons for which the perimeter is ≤ n.
Pythagorean polygons should be considered distinct as long as none is a translation of another.
You are given that P(4) = 1, P(30) = 3655 and P(60) = 891045. Find P(120).
# --hints--
`euler292()` should return 3600060866.
```js
assert.strictEqual(euler292(), 3600060866);
```
# --seed--
## --seed-contents--
```js
function euler292() {
return true;
}
euler292();
```
# --solutions--
```js
// solution required
```