Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.

The ratio (red to blue) of the perimeters of the similar triangles is 12:7

Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.

Perimeter of a triangle = s1 + s2 + s3

For the red triangle;

Perimeter of the red triangle = 12 + 12 + 12

Perimeter of the red triangle = 36

For the blue triangle:

Perimeter of the blue triangle = 7 + 7 + 7

Perimeter of the blue triangle = 21

Taking the ratio of their perimeters;

Ratio of red to blue = 36:21 = 12:7

Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7

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Step-by-step explanation:

Side length of red ∆ = 12

Side length of blue ∆ = 7

Given that the red ∆ is similar to the blue ∆, therefore the ratio of their corresponding sides = the ratio of their perimeter.

The ratio of the perimeter of red ∆ to perimeter of blue ∆ = side length of red ∆ / side length of blue ∆

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