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7th Class Mathematics The Triangle and its Properties Question Bank Triangles

  • question_answer
    In  \[\Delta ABC,\,\,D\] is the midpoint of BC and G is ^^ the centroid of the triangle. If \[GD=2\text{ }cm,\]what is the length of AD?

    A)  \[4\,\,cm\]                        

    B)  \[6\,\,cm\]  

    C)  \[2\,\,cm\]        

    D)         \[8\,\,cm\]

    Correct Answer: B

    Solution :

     The centroid divides the median in the ratio \[2:1\]. \[\therefore \]    \[AG:GD=2:1\] So,          \[AG=2\times GD=2\times 2=4cm\]                 \[AD=AG+GD=4+2=6cm\]


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