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

  • question_answer
    In relation to the part \[(3),\] the ratio of sides \[\text{DF}:\text{AC}\] is:

    A) \[2:5\]

    B) \[5:2\]

    C) \[2:3\]

    D) \[3:2\]

    Correct Answer: C

    Solution :

    As triangles ABC and DEF are similar, sides are proportional.
    \[\therefore \,\,\,\frac{DE}{AB}=\frac{DF}{AC}\,\,\,\,\Rightarrow \,\,\frac{10}{15}=\frac{DF}{AC}\,\,\Rightarrow \frac{DF}{AC}=\frac{2}{3}\]
    Thus, the ratio of sides \[DF:AC=2:3\].
    So, option [c] is correct,

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