If the ratio of areas of two equilateral triangles is 9 : 16, then the ratio of their corresponding sides is
As we know area of equilateral triangle is directly proportional to square of its side:
Hence $$Area_1 : area_2 :: (a_1)^2 : (a_2)^2$$
or $$\frac{a_1}{a_2} = \frac{3}{4}$$
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