Math, asked by hirthickkumaran4956, 1 year ago

Abcd is a parallelogram and e and f are the centroids of triangle abc and bcd respectively then ef is

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Answered by ANGEL123401
25

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Given:

ABCD is a parallelogramE and F are the centroids of triangle ABD and BCD

Since, the diagonals of parallelogram bisect each other

AO is the median of triangle ABDAnd,

CO is the median of triangle CBD

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

Similarly,

FO = 1/3CO

EO + FO = 1/3 AO +1/3 CO

CO= 1/3(AO + CO)

(AO + CO)EF = 1/3 AC

ACAE = 1/3AO

= 2/3* 1/3AC

= 1/3 AC

ACTherefore,

EF = AE

{} \huge \red{hope \: it \: helps \: you}

Answered by vanshg28
3

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