10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    If \[\text{AL}=\text{b},\]then find b in terms of x, y and d is:

    A) \[\frac{zd}{y}\]

    B) \[\frac{yd}{z}\]

    C) \[xyd\]

    D) \[xzd\]

    Correct Answer: A

    Solution :

    By AA-similarity criterion,
    \[\Delta ALO\tilde{\ }\Delta ACD\]
                \[\therefore \,\,\,\frac{AL}{AC}=\frac{OL}{DC}\Rightarrow \frac{b}{z}=\frac{d}{y}\]
                \[\Rightarrow \,\,\,\,\,\,\,\,\,\,b=\frac{zd}{y}\]
    So, option [a] is correct.

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