Question

D is mid point of side BC of a triangle ABC and E is mid point of BD.If O is mid point of AE , then prove that ar(BOE)=1/8ar(ABC)

Answer 1

ar of ABD = 1/2 ABC
ar of ABE = 1/2 ABD = 1/4 ABC
ar of BOC = 1/2 ABE = 1/4 ABD = 1/8 ABC