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Mathematics

If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio

  1. 9 : 4

  2. 3 : 2

  3. 2 : 3

  4. 16 : 81

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Answer

Given, ratio of the areas of the two similar triangles = 4 : 9

We know that, the ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.

Ratio of corresponding sides =Ratio of the areas of similar triangles=4:9\text{Ratio of corresponding sides } = \sqrt{\text{Ratio of the areas of similar triangles}} = \sqrt{4} : \sqrt{9} = 2 : 3.

Hence, Option 3 is the correct option.

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