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The equilateral triangles shown below are similar.

Two equilateral triangles are shown. The triangle on the left has side length measuring 2 cm. The triangle on the right has side length measuring 5 cm.

What is the ratio of their perimeters?

(1 point)
Responses

425

4 25

25

2 5

45

4 5

1

1

1 answer

To find the ratio of the perimeters of the two similar equilateral triangles, you can use the fact that the perimeter of an equilateral triangle is three times the length of one side.

For the triangle on the left with a side length of 2 cm:

  • Perimeter = 3 × 2 cm = 6 cm

For the triangle on the right with a side length of 5 cm:

  • Perimeter = 3 × 5 cm = 15 cm

Now, calculate the ratio of their perimeters:

  • Ratio = Perimeter of left triangle : Perimeter of right triangle = 6 cm : 15 cm

To simplify the ratio, divide both numbers by 3:

  • Ratio = 2 : 5

Therefore, the ratio of their perimeters is 2 : 5.