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D is the mid-point of side B C of A B C ...

`D` is the mid-point of side `B C` of `A B C ` and `E` is the mid-point of `B Ddot` If `O` is the mid-point of `A E` , prove that `ar( B O E)=1/8ar( A B C)`

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`"AD is medium of "/_\ABC`
`ar(ABD)=1/2 ar(ABC)`
`2" ar(ABE)=1/2ar(ABC)`
`2xx2AR(BOE)=1/2ar(ABC)`
`ar(BOE)=1/8ar(ABC)`
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