∵AD,BE,CF为△ABC的三条高,易知B,C,E,F四点共圆∴△AEF∽△ABC∴ AF AC = EF BC = 3 5 ,即cos∠BAC= 3 5 ∴sin∠BAC= 4 5 ∴在Rt△ABE中,BE=ABsin∠BAC=6? 4 5 = 24 5 .故选D.