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G , एक समबाहु त्रिभूज ABC का केंद्रक है | तदनुसार यदि AB = 9 से. मी हो , तो AG किसके बराबर होगा ?

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G , एक समबाहु त्रिभूज ABC का केंद्रक है | तदनुसार यदि AB = 9 से. मी हो , तो AG किसके बराबर होगा ?
A. `3sqrt(3)cm `
B. 3 cm
C. `(3sqrt(3))/(sqrt(2))cm`
D. 6 cm
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1 Answer

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Correct Answer - A
G is centroid which divides medians in the ratio of `2:1`
In case of equilateral triangle length of median `=(sqrt(3)a)/2`
`AG = sqrt(3)/2 xx 9 xx 2/3 = 3sqrt(3)`
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