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Areas of two similar triangles are 225 sq. cm. and 81 sq. cm. If a side of the smaller triangle is 12 cm, then find corresponding side of the bigger triangle.

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Let the areas of two similar triangles be A1 and A2 .

A1 = 225 sq. cm. A2 = 81 sq. cm. 

Let the corresponding sides of triangles be S1 and S2 respectively. 

S1 = 12 cm

∴ The length of the corresponding side of the bigger triangle is 20 cm. 

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