# geometry

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The ratio of the areas of two similar triangles is 36 : 25. What is the ratio of the perimeters of the two triangles?

• geometry -

If the similarity ratio of two similar triangles is a : b, then the ratio of their areas is :

a ^ 2 / b ^ 2

So :

a ^ 2 / b ^ 2 = 36 / 25

a / b = sqrt ( 36 ) / sqrt ( 25 ) = 6 / 5

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