Home > Physics_Simulation > Pythagoras’ Theorem

Pythagoras’ Theorem

Pythagoras’ a Greek and he’s a brilliant mathematician (more of a philosopher back then) who arrived at a theorem shown as below.

pita

The diagonal side (aka hypothenus) power 2 is the sum of horizontal and vertical side, each power by 2.

Ok, so let’s make use of it. Here’s a question. Get the length of line in image. We know the two bounding coordinates.

pita1

So its a trivial question. So here’s the answer.

pita2

This problem is frequently met so you are advised to program it into a class file for quick reference. It’s applied when we’d like to get the magnitude of a vector. Given a case where we have the following information, we should know to quickly remember Pythagoras.

pita3

Another application of it leads to collision detection. Once you have understood this fundamental, you’ve got Pythagoras!

Advertisements
Categories: Physics_Simulation
  1. No comments yet.
  1. No trackbacks yet.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: