∫△ABC is an equilateral triangle

∴AB=AC=BC=3

∴∠ABC=∠ACB=60

The bisectors of ∠∠ABC and ∠ACB are BO and Co.

∴∠OBE=∠OCF=30

∫OE//AB，OF//AC

∴∠OEF=∠ABC=60，∠OFE=∠ACB=60

∴∠boe=∠oef-∠obe=30∠cof =∠ofe-∠ocf = 30

∴BE=OE，CF=OF

∫△OEF perimeter =OE+EF+OF=BE+EF+FC=BC=3.