∴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