∴BG+GC/GC=EH+HF/HF
Namely: BC/GC=EF/HF.
∴BC/EF=GC/HF
∫△ABC∽△DEF
∴∠C=∠F
AC/DF=BC/EF
∴AC/DF=GC/HF
∴△AGC∽△DHF
∴AG/DH=AC/DF=3/2