10th Class Mathematics Triangles Question Bank MCQs - Triangles

  • question_answer
    In the given figure, \[\Delta ABC\tilde{\ }\Delta PQR\]. If \[\text{BC}=\text{5 cm}\] and \[\text{QR}=\text{3cm},\]then the ratio of areas of \[\Delta ABC\]to \[\Delta PQR\] is:

    A) \[5:3\]

    B) \[3:5\]

    C) \[25:9\]

    D) \[9:25\]

    Correct Answer: C

    Solution :

    [c] \[\Delta ABC\tilde{\ }\Delta PQR\]
    \[\therefore \,\,\,\,\,\,\,\,\frac{ar(\Delta ABC)}{ar(\Delta PQR)}=\frac{{{(BC)}^{2}}}{{{(QR)}^{2}}}=\frac{{{(5)}^{2}}}{{{(3)}^{2}}}=\frac{25}{9}\]


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