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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    In \[\Delta \,ABC\], \[\angle \,B=90\], AB = 8 cm and BC = 6 cm. The length of the median BM is

    A)  3 cm                                     

    B) 5 cm  

    C) 4 cm                     

    D) 7 cm

    Correct Answer: B

    Solution :

      \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] (because \[\angle B={{90}^{o}}\]) \[=64+36=100\]                 \[\therefore \]  \[AC=10\] But         \[BM=\frac{1}{2}AC=\frac{10}{2}=5cm\]


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