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# The areas of two similar triangles and are 144 cm2 and 81 cm2 respectively. If the longest side of larger A ABC be 36 cm, then. the longest side of the smaller triangle isA. 20 cmB. 26 cmC. 27 cmD. 30 cm

Given that area of two similar triangles ΔABC and ΔDEF are 144 cm2 and 81 cm2. Also the longest side of larger ΔABC is 36 cm.

We have to find the longest side of the smaller triangle ΔDEF. Let it be x.

We know that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

x = 27 cm

Longest side of ΔDEF is 27 cm.

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