If the ratio of the areas of two similar triangles is 25 : 144, find the ratio of their corresponding sides.

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For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides. Given the ratio of areas = 25 : 144.

Let the ratio of corresponding sides be x : y.

Then, (x/y)^2 = 25/144
=> x/y = sqrt(25/144) = 5/12

Hence, the ratio of their corresponding sides is 5 : 12.

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