Billiard problem - Explanation of 3 bounces
Move the points for Bounce1, Bounce2 and Bounce3 so that the the distance traveled by the Cue ball is the shortest possible. (Of course, the Cue ball must stay within the confines of the pool table and it needs to bounce off the three edges in the indicated order Bounce1 -> Bounce 2 - > Bounce 3.)
Explain how you know your path is the shortest possible.