# Pythagorean Theorem

math

How did I not know this

How did I make it to `$adulthood * 2`

without knowing that our old friend, the Pythagorean Theorem (\(a^2 + b^2 = c^2\)), works in any number of dimensions?

The Euclidean distance \(d\) between the origin (\(0, 0, \dots 0\)) and a point defined by \(n\) coordinates \(x\) is just

\[d = \sqrt{x_1^2 + x_2^2 + \dots + x_n^2}\]

Add up all of the squares and take the square root. Dope-smack for me.

## Reuse

## Citation

BibTeX citation:

```
@online{linberg2022,
author = {Steve Linberg},
title = {Pythagorean {Theorem}},
date = {2022-02-02},
url = {https://slinberg.net/posts/2022-02-02-pythagorean-theorem},
langid = {en}
}
```

For attribution, please cite this work as:

Steve Linberg. 2022. “Pythagorean Theorem.” February 2,
2022. https://slinberg.net/posts/2022-02-02-pythagorean-theorem.