(Perfect Hacker: I hope you allow this)
Geometry it's beautiful!!!
Let's start a G-M
You know the rules, person who solves the problem, proposes the another one, but before proposing it, he must have the approval (if the answer is correct or not) of the person who proposed the previous geometry problem.
... and don't forget -no trig. allowed-. Use LaTeX.
Here's the first one