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  1. G is the centroid of the equilateral triangle ABC. If AB = 9 cm, then AG is equal to
    1. 3√3 cm.
    2. 3 cm.
    3. 3√3/ 2 cm.
    4. 6 cm.
Correct Option: A

As per the given in question , we draw a figure of an equilateral triangle ABC

AD =
√3
 × Side
2

AD =
√3
 × 9 =
9√3
 cm.
22

∴ AG =
2
 AD =
2
 ×
9√3
 cm.
332

AG = 3√3cm.


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