Q. 175.0( 1 Vote )

ABCD is a paralle A. AE

B. BE

C. CE

D. DE

Answer :

Given: ABCD is a parallelogram

E and F are the centroids of triangle ABD and BCD


Since, the diagonals of parallelogram bisect each other


AO is the median of triangle ABD


And,


CO is the median of triangle CBD


EO= AO (Since, centroid divides the median in the ratio 2:1)


Similarly,


FO = CO


EO + FO = AO + CO


= (AO + CO)


EF = AC


AE = AO


= * AC


= AC


Therefore,


EF = AE

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