11th Class Mental Ability Geometry Question Bank Question - Geometry

  • question_answer
    A polygon has 54 diagonals. The number of sides in the polygon is :

    A)

    B) 9

    C) 12

    D) 11

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. \[\frac{n\,(n-3)}{2}={{54}^{{}^\circ }}\Rightarrow {{n}^{2}}-3n={{108}^{{}^\circ }}\Rightarrow n=12\]


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