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    The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is: 
    Question

    The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is: 

    A.

    2√3 cm

    B.

    4√3 cm

    C.

    5√3 cm

    D.

    3√3 cm

    Correct option is A

    Given: 
    Equilateral triangle ABC\triangle ABC .
    L is the centroid. 
    Concept Used: 
    In an equilateral triangle.
    height of the triangle = 32×side2\frac{ \sqrt{3}}{2}\times { \text{side}^2} 
    ratio of length of the centroid = 2 : 1 
    Solution: 

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