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

  • question_answer
    In relation to the part \[(3),\] the ratio of areas of triangles ABC and DEF is:

    A) \[9:4\]

    B) \[3:2\]

    C) \[4:9\]

    D) \[2:3\]

    Correct Answer: A

    Solution :

    We know that, the ratio of the areas of similar triangles is equal to the ratio of the squares of the corresponding sides.
    \[\frac{ar(\Delta ABC)}{ar(\Delta DEF)}\,\,=\frac{A{{B}^{2}}}{D{{E}^{2}}}=\frac{{{15}^{2}}}{{{10}^{2}}}=\frac{225}{100}=\frac{9}{4}\]
    So. option [a] is correct.

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