10th Class Mathematics Triangles Question Bank MCQs - Triangles

  • question_answer
    Ratio of areas of two similar triangles is\[\text{2}:\text{3}\]. Then ratio of their corresponding sides is:

    A) \[\sqrt{3}:\sqrt{2}\]

    B) \[\sqrt{6}:1\]

    C) \[1:\sqrt{6}\]

    D) \[\sqrt{2}:\sqrt{3}\]

    Correct Answer: D

    Solution :

    [d] : Since, ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
    \[\therefore \]Square of ratio of corresponding sides\[=\frac{2}{3}\].
    \[\Rightarrow \]  Ratio of the corresponding sides \[=\frac{\sqrt{2}}{\sqrt{3}}\]


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