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9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    In the figure given below, G is the centroid of the equilateral triangle ABC, If \[\mathbf{AB}=\mathbf{6}\] cm, then AG is equal to

    A)  \[\sqrt{3}\]cm                           

    B)  \[3\sqrt{2}\]cm.

    C)  \[\frac{3\sqrt{3}}{2}\] cm                  

    D)  \[2\sqrt{3}\]cm.

    Correct Answer: D

    Solution :

    (d): \[AD=\frac{\sqrt{3}}{2}\times side\] \[=\frac{\sqrt{3}}{2}\times 6=3\sqrt{3}\]cm \[\therefore AG=\frac{2}{3}AD=\frac{2}{3}\times 3\sqrt{3}\]cm \[=2\sqrt{3}cm\].


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