>Also, if
>you wouldn't mind I would be interested to see how you
>proved(a sketch would be enough) the second problem I
>posted. My proof gets kinda heavy into trig, but I've always
>preferred proofs that don't use trig, so I'd be curious to
>see how you do it.

It's trig, but rather simple and straightforward.

I posted a solution at

http://www.cut-the-knot.org/triangle/Markowsky.shtml