Answer :

Given: AC||BD and CE||DF.OA = 12cm, AB = 9 cm, OC = 8 cm and EF = 4.5 cm

Required: Length of FO

Consider Δ BOD

Here, AC||BD

∴ By Thales theorem

⇒

⇒

∴ CD = 6cm

Now, Consider ΔDOF

Here, CE||DF

∴ By Thales theorem

⇒

⇒

∴ OE = 6cm

∴ FO = OE + EF = 6 + 4.5 = 10.5cm

∴ Length of FO = 10.5 cm.

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