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    If the side of an equilateral triangle is 222\sqrt222​​ cm, then the length of the perpendicular drawn from vertex to the side is:
    Question

    If the side of an equilateral triangle is 222\sqrt2​ cm, then the length of the perpendicular drawn from vertex to the side is:

    A.

    5 cm\sqrt5\space\text{cm}​​

    B.

    6 cm\sqrt6\space\text{cm}​​

    C.

    7 cm\sqrt7\space\text{cm}​​

    D.

    2 cm

    Correct option is B

    Given:

    Side of the equilateral triangle =222\sqrt{2}  cm 

    Formula Used:

    Altitude =32×side \frac{\sqrt{3}}{2} \times \text{side}

    Solution:

    Altitude =32×22=32=6 \frac{\sqrt{3}}{2} \times 2\sqrt{2} = \sqrt{3} \cdot \sqrt{2} = \sqrt{6} cm

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