[Guide] Project Euler: Problem 9: Special Pythagorean triplet (#28382)

* feat: added problem 9

* Removed extra word and added formatting to variable names
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Aditya
2018-10-26 21:08:17 +05:30
committed by Christopher McCormack
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@ -3,8 +3,31 @@ title: Special Pythagorean triplet
---
## Problem 9: Special Pythagorean triplet
This is a stub. <a href='https://github.com/freecodecamp/guides/tree/master/src/pages/certifications/coding-interview-prep/project-euler/problem-9-special-pythagorean-triplet/index.md' target='_blank' rel='nofollow'>Help our community expand it</a>.
### Method:
- In this challenge we need to find the pythagorean triple.
- We have the following information - `a < b < c`
- Based on this, we can make a loop starting from `a = 0` and `b = a` since `a < b` always.
- We also know that `a + b + c = n` and `a^2 + b^2 = c^2`, since we have `a`, `b` and `n`. We can find `c` and see if it satisfies the triplet theorem.
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### Solution:
```js
function specialPythagoreanTriplet(n) {
let sumOfabc = n;
for (let a = 1; a < n; a++){
for (let b = a; b < n; b++){
let c = n - a- b;
if (c > 0){
if (c**2 == a**2 + b**2){
return a*b*c;
}
}
}
}
}
<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
specialPythagoreanTriplet(1000);
```
- [Run Code](https://repl.it/@ezioda004/Project-Euler-Problem-9-Special-Pythagorean-triplet)
### References:
- [Wikipedia](https://en.wikipedia.org/wiki/Pythagorean_triple)