# The sides of a triangle are 4: 5: 7. Find the sides of a similar triangle if its perimeter is 96 cm

August 22, 2021 | education

| Let’s denote the coefficient of similarity through x, then the sides of such a triangle will be respectively equal to 4x cm, 5x cm and 7x cm.Since the perimeter of such a triangle is 96 cm, we will compose and solve the equation:

4x + 5x + 7x = 96;

16x = 96;

x = 96: 16;

x = 6.

The coefficient of similarity is 6, then the sides of a similar triangle will be equal:

4 * 6 = 24 (cm);

5 * 6 = 30 (cm);

7 * 6 = 42 (cm).

Answer: the sides of such a triangle are 24 cm, 30 cm and 42 cm.

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