Question

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

Answer 1

Answer:

$\frac{12}{7}$

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 ∆

$= \frac{12}{7}$

Answer 2

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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