In similar triangles, if the ratio of the sides is 1:5, what is the ratio of the

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Question: In similar triangles, if the ratio of the sides is 1:5, what is the ratio of their perimeters?

Options:

Correct Answer: 1:5

Solution:

The ratio of the perimeters of similar triangles is the same as the ratio of their corresponding sides, which is 1:5.

In similar triangles, if the ratio of the sides is 1:5, what is the ratio of their perimeters?

In similar triangles, if the ratio of the sides is 1:5, what is the ratio of their perimeters?

Step 1: Understand that similar triangles have the same shape but different sizes.
Step 2: Know that the ratio of the lengths of corresponding sides of similar triangles is given as 1:5.
Step 3: Remember that the perimeter of a triangle is the total length around it, which is the sum of all its sides.
Step 4: Realize that the ratio of the perimeters of similar triangles is the same as the ratio of their corresponding sides.
Step 5: Since the ratio of the sides is 1:5, the ratio of the perimeters will also be 1:5.

Similar Triangles – In similar triangles, corresponding sides are in proportion, and thus their perimeters are also in the same ratio.
Ratio of Perimeters – The ratio of the perimeters of similar figures is equal to the ratio of their corresponding sides.