D is the midpoint f side BC of △ABC and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar (△BOE)=18ar(△ABC)

D is the midpoint f side BC of △ABC and E is the midpoint of BD. IF

1.	D is the midpoint f side BC of △ABC and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar (△BOE)=18ar(△ABC)
Answer» D is the midpoint f side BC of $△ A B C$ and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar $(△ B O E) = \frac{1}{8} a r (△ A B C)$