What's the chance of an acute triangle?

[nuzzle]

I've posted in this thread,

http://www.codeguru.com/forum/showth...ht=acute+angle

but it was a while ago and the OP never came back and it's more of an algorithm question so I continue in a new thread here.

Say you generate the three corners of a triangle in a plane at random. What's the chance the triangle is acute?

I've presented a solution already but I think I have a better one this time.