If the medians of two equilateral triangles are in the ratio $3 : 2,$ then what is ratio of the sides $?$

1 : 1

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2 : 3

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3 : 2

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\sqrt{3} : \sqrt{2}

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Solution

The correct option is C $3 : 2$
Equilateral triangles are similar triangles.
In similar triangles, the ratio of their corresponding sides is the same as the ratio of their medians.
Hence, ratio of sides = $3 : 2$

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