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

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asked Apr 30, 2017 in Mathematics by sforrest072 (157,439 points) 60 409 934

(A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81

1 Answer

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answered May 10, 2017 by sarthaks (25,122 points) 9 24 36
 
Best answer

Solution:

If two triangles are similar to each other, then the ratio of the areas of these triangles will be equal to the square of the ratio of the corresponding sides of these triangles.

It is given that the sides are in the ratio 4:9.

Therefore, ratio between areas of these triangles = (4/9)2 = 16/81

Hence, the correct answer is (D).

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