The sides of a triangle are 48 cm, 24 cm, 56 cm, find the perimeter of a triangle like this one if its largest side is 7 cm.

1) What is the coefficient of similarity?

To find the coefficient of similarity, you need to divide the length of the larger side of a given triangle by the length of the larger side of a similar triangle, that is

56: 7 = 8

2) What is the length of the middle side of such a triangle?

48: 8 = 6 (cm).

3) What is the smaller side of such a triangle?

24: 8 = 4 (cm).

4) What is the perimeter of a triangle like this one?

7 + 6 + 4 = 17 (cm).

Answer: The perimeter of a triangle like this one is 17 cm.



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