Question #52 on 2013 Inv. D:
Triangle ABC exists such that m[unparseable or potentially dangerous latex formula] ACB = [unparseable or potentially dangerous latex formula] and point P is the midpoint of segment AB. If CP = [unparseable or potentially dangerous latex formula] cm, BC = [unparseable or potentially dangerous latex formula] cm, and m[unparseable or potentially dangerous latex formula] CPB = [unparseable or potentially dangerous latex formula], find [unparseable or potentially dangerous latex formula]
Answer: [unparseable or potentially dangerous latex formula] cm
I've tried a few approaches with Law of Sines/Cosines but can't seem to figure it out. Anyone know how?