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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    The medians AL, BM and CN of a \[\Delta \,ABC\] intersect at P. If AL = 5, then the length of AP is

    A) \[\frac{5}{13}\]

    B) \[\frac{5}{4}\]

    C) \[\frac{15}{2}\]

    D) \[\frac{10}{3}\]

    Correct Answer: D

    Solution :

     Let                                                                                                                    \[PL=x,\] then                                                                                                                   \[AP=2x\] Now                                                                                                          \[AL=5\] or                                                                                                           \[AP+PL=5\] or                                                                                                             \[2x+x=5\] or                                                                                                       \[x=\frac{5}{3}\]                                                                                                               \[\therefore\]                                                                                                      \[AP=2x=\frac{10}{3}\]


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