As shown in the figure, in the parallelogram ABCD, e and F are on AB and ad respectively, and EF intersects AC at point g. if AE: EB = 2:3, AF: ad = 1:2, what is the value of Ag: AC
Extend CD and EF to point M,
△EAF∽△MDF
Because f is the midpoint of AD
The similarity ratio is 1; 1
MD=EA
△CGM∽△AGE
∵AE:EB=2:3,
∴AG:CG=AE:CM=(2:5+2)=2:7
∴AG:AC=2:9
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