D is the mid-point of side BC of ΔABC and E is the mid point of BD. If O is the midpoint of AE.Then Area of (ΔBOE) .
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The correct option is A 18 Area(ΔABC) Since AD is the median, ∴ 2ar(ΔABD)=ar(ΔABC)
...(i) Similarly, 2ar(ΔABE)=ar(ΔABD)...(ii) And 2ar(ΔBOE)=ar(ΔABE)...(iii) Now, ar(ΔABC)=2ar(ΔABD) =2[2ar(ΔABE)]
from (ii) =4[2ar(ΔBOE)]
from (iii) =8ar(ΔBOE) ∴18ar(ΔABC)=ar(ΔBOE)