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    In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?
    Question

    In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?

    A.

    4 cm

    B.

    6 cm

    C.

    8 cm

    D.

    9 cm

    Correct option is C

    Given :

    In triangle ABC, medians AD and BE intersect at the centroid G.
    Length of median AD = 12 cm.

    Formula Used :
    The centroid divides each median in the ratio
    AG : GD = 2 : 1

    So,
    AG = 23×AD\frac{2}{3} \times AD​​

    Solution :

    AG =23×12=8 cm= \frac{2}{3} \times 12 = 8 \text{ cm}​​

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