If O is the centroid and AD, BE and CF are the three medians

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If O is the centroid and AD, BE and CF are the three medians of ∆ABC with an area of 96 cm² then the area of ∆BOD in cm² is

1. 8
2. 12
3. 16
4. 24

Correct Option: C

Point O is the centroid of ∆ABC.
∴ ∆AOB ≡ ∆AOC ≡ ∆BOC
Again, ∆BOD ≡ ∆COD

∴ Area of ∆BOD =	1	× Area of ∆ABC
	6

=	1	× 96 = 16 sq.cm.
	6