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    Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC. What will be the value of BM/AB ?
    Question

    Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC. What will be the value of BM/AB ?

    A.

    14\frac{1}{4}

    B.

    13\frac{1}{3}

    C.

    12\frac{1}{2}

    D.

    34\frac{3}{4}

    Correct option is C

    Given:

    Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC.

    Solution:

    Let ABC is equilateral triangle and his side is a.

    All angle is 60°60\degree.​

    So,

    BMAB=a2a=a2×1a=12\frac{BM}{AB} = \frac{\frac{a}{2}}{a} = \frac{a}{2} \times \frac{1}{a} = \frac{1}{2}

    Thus, the correct answer is (c).

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