D is the midpoint of 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 of side BC of ∆ABC and E is the midpoint of BD. If

1.	D is the midpoint of 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 of side BC of ∆ABC and E is the midpoint of BD. If O is the midpoint of AE, prove that ar(∆BOE) = $\frac{1}{8}$ ar(∆ABC).