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    Question

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

    ∆ABC with area 54 cm 2 , then the area of ∆BGD is?
    A 9 cm² Correct Answer Incorrect Answer
    B 36 cm² Correct Answer Incorrect Answer
    C 18 cm² Correct Answer Incorrect Answer
    D 6 cm² Correct Answer Incorrect Answer

    Solution

    Meeting point of all medians AD, BE , CF is called as centroid. Always remember that, if G is centroid in ∆ ABC, In ∆ ABC, area of ∆ AGF = area of ∆ AGE = area of ∆ BGD = area of ∆BGF  = area of ∆CGE = area of ∆CGD = 1/6th of the area of ∆ABC So area of ∆BGD = 1/6 th of area of ∆ABC = 1/6 ×  54 = 9 cm 2

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