I know.....this is going to sound retarded....but stay with me.
At the beginning of the year, my Alg II teacher told us that half way through the year, he would ask us a hard question worth bonus points. He told us the problem, and won't tell us what it is until we have to solve it (less then a week).
I am having a hard time remembering it, but I think it was "draw a triangle with only two sides" or something along those lines. It had something to do with drawing a figure that one would think is impossible to draw with x number of sides. I just don't remember the figure or number of sides. "Draw a triangle with four sides" for example.
I have asked students of his from last year, and they told me that he DID prove that the problem could be solved....but couldn't recall the details.
If anybody has any clue what I am talking about, PLEASE help.