9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    in the given figure below two medians AD and BE of \[\Delta ABC\] intersect at G at right angles. If \[AD=18\]cm and \[\mathbf{BE=12}\]cm, then the length of BD (in cm) is

    A)  10       

    B)  6

    C)  5                                

    D)  3

    Correct Answer: A

    Solution :

    (a): \[AD=18\]cm. \[\Rightarrow \]\[GD=\frac{1}{3}\times 18=6cm\] \[BE=12\]cm \[\Rightarrow \] \[BG=\frac{2}{3}\times 12=8cm\] \[\therefore \]\[BD=\sqrt{{{6}^{2}}+{{8}^{2}}}=10cm\]                     


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