10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In the given figure, \[\Delta \text{ABC}\]is right angled at A. What is the length of AD in terms of 'b' and 'c'?

    A)  \[\frac{AC}{\sqrt{{{b}^{2}}+{{c}^{2}}}}\]                              

    B)  \[\frac{bc}{\sqrt{{{b}^{2}}+{{c}^{2}}}}\]

    C)  \[\frac{bc}{\sqrt{{{b}^{2}}-{{c}^{2}}}}\]                

    D)  \[\frac{bc}{\sqrt{{{c}^{2}}-{{b}^{2}}}}\]

    Correct Answer: B

    Solution :

     \[\Delta \text{ABC}\]\['x'\]\[\Rightarrow \] Hence, the length of AD in terms of 'b' and 'c' is\[\frac{35}{x}=\frac{6.5}{9.1}\Rightarrow x=49\,cm\]


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