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The ratio of corresponding sides of two similar triangles is sqrt(3) : sqrt(2). What is the ratio of their areas?

1. 3 : 2
2. 9 : 4
3. sqrt(3) : sqrt(2)
4. 27 : 8

Correct answer: 3 : 2

Solution

For similar triangles, the ratio of areas = (ratio of corresponding sides)^2. So (sqrt(3) : sqrt(2))^2 = 3 : 2.

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