Two corresponding sides of similar triangles are 3.6 cm and 2.4 cm, respectively. If the area of the bigger triangle is 45 sq. cm. Find the area of the smaller triangle.

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Solution

Let ΔABC and ΔPQR be two similar triangles such that their corresponding sides are AB = 3.6 cm and PQ = 2.4 cm.

Let the area of the bigger triangle, ΔABC be 45 sq. cm.

We need to find the area of the smaller ΔPQR.

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

Hence, the area of smaller triangle is.

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