Question

D is mid point of side BC of triangle ABC and E is the mid point of BD. If O is midpoint of AE, then prove that : $area of triangle BOE=1/8 area of triangle ABC

Answer 1

Answer:

In the attachment.. Hope its helpful..

Answer 2

Area of Δ BOE =  Area of Δ ABC/8

Step-by-step explanation:

D is the mid-point of side BC

=> Area of ΔABD = (1/2) Area of Δ ABC

E is the mid point of BD

=> Area of Δ ABE = (1/2) Area of ΔABD

=> Area of Δ ABE = (1/2)(1/2) Area of Δ ABC

=> Area of Δ ABE = (1/4) Area of Δ ABC

O is the mid point of AE

=> Area of Δ BOE = (1/2) Area of Δ ABE

=> Area of Δ BOE = (1/2) (1/4) Area of Δ ABC

=>  Area of Δ BOE = (1/8) Area of Δ ABC

=>  Area of Δ BOE =  Area of Δ ABC/8

QED

Proved

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