D is the mid-point of side BC of Δ ABC and E is the mid-point of BD. If O is the mid-point of AE, prove that ar (Δ BOE) = 18 ar (Δ ABC).

D is the mid-point of side BC of Δ ABC and E is the mid-point of BD.

1.	D is the mid-point of side BC of Δ ABC and E is the mid-point of BD. If O is the mid-point of AE, prove that ar (Δ BOE) = 18 ar (Δ ABC).
Answer» D is the mid-point of side BC of Δ ABC and E is the mid-point of BD. If O is the mid-point of AE, prove that ar (Δ BOE) = $\frac{1}{8}$ ar (Δ ABC).