Question for you smart kids out there?

There is no real life example. It's used for mathematics, and physics. Most theorems are used to derive even more theorems. It's just knowledge that isn't real world applicable but sometimes necessary to understand further into a field. I mean you can stretch it and say that it applies to engineering and physics problems in real life where you would need that graphs to understand a a theorem that will derive a formula used in the problem. Something along those lines.

i remember Teachers always said you would use it if you were an architect but they could be lying lol.

The graphs, I am not sure about. However, the square root comes in handy if you want to build, or install, anything triangular, since the Pythagorean formula requires you to square the two sides to find the hypotenuse of the triangle. It also comes in handy in land navigation, and various other scenarios where you may have to develop a work around, to the way things were supposedly going to work the first time. Construction is a good place to know how to get these types of values.

You probably won't get much help here as this place is built around gender issues. I'd try a math forum: link