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Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81

Q9   Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
     

        (A) 2 : 3

        (B) 4 : 9

        (C) 81 : 16

        (D) 16 : 81

Answers (1)
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 Sides of two similar triangles are in the ratio 4 : 9.

Let triangles be ABC and DEF.

We know that

                   \frac{ar(\triangle ABC)}{ar(\triangle DEF)}=\frac{AB^2}{DE^2}=\frac{4^2}{9^2}=\frac{16}{81}

Option D is correct.

 

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