AIME I 2010 #15
Posted: Tue Mar 23, 2010 3:02 amIn [unparseable or potentially dangerous latex formula] with [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] let [unparseable or potentially dangerous latex formula] be a point [unparseable or potentially dangerous latex formula] such that the incircles of [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] have equal radii. Let [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] be positive relatively prime integers such that [unparseable or potentially dangerous latex formula] Find [unparseable or potentially dangerous latex formula].