解:過點?$O$?作?$OE⊥AC$?于點?$E$?
∵?$∠AOB=90°,$??$AO=5,$??$OB=12$?
∴?$AB=13$?
∴?$EO×AB=AO×BO$?
∴?$ EO=\frac {AO×BO}{AB}=\frac {60}{13}$?
?$ $?在?$Rt△AEO$?中,?$ AE=\sqrt {AO^2-EO^2}=\frac {25}{13}$?
∴?$ AC=\frac {25}{13}×2=\frac {50}{13}$?
∴?$ BC=13-\frac {50}{13}=\frac {119}{13}$?