Two similar sides of similar triangles are 2cm and 5cm. The area of the first is 8 cm2. Find the area of the second triangle.

univerkov | April 19, 2021 | education

Since the triangles are similar and there are the lengths of two similar sides, we determine the coefficient of similarity of these triangles.

K = 5/2.

Let the area of the first triangle be S1 = 8cm2, and the second – S2.

The ratio of the areas of similar triangles is equal to the square of the similarity coefficient.

S2 / S1 = K ^ 2 = (5/2) ^ 2 = 25/4.

S2 = S1 * 25/4 = 8 * 25/4 = 50cm2.

Answer: C) 50 cm2.

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