AE平分∠BAC?
AE平分∠BAD吧?
AE平分∠BAD,∠BAE=∠EAD;
∠AEB=∠EAD,[内错角]
∠BAE=∠AEB;
BE=BA=CD=6cm;
BE:EC=3:2,
EC=2BE/3=2*6/3=4cm;