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Question
Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
Options
2 : 3
4 : 9
81 : 16
16 : 81
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 16 : 81.
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