Question

A pair of similar triangles has a 3:2 ratio for each pair of corresponding sides. If the perimeter of the smaller triangle is 26, what is the perimeter of the larger triangle?

Answer 1

To find the larger triangle's perimeter, multiply the smaller triangle's perimeter (26 units) by the ratio of the sides (3/2), resulting in a perimeter of 39 units for the larger triangle.

Step-by-step explanation:

The question involves finding the perimeter of a larger triangle given the perimeter of a smaller, similar triangle and the ratio of their corresponding sides. With a ratio of 3:2 for each pair of corresponding sides and the smaller triangle's perimeter being 26, we can determine the larger triangle's perimeter by setting up a proportion.

Since the smaller triangle's perimeter is 26 and the side ratio is 3:2, we multiply the smaller triangle's perimeter by 3/2 to get the larger triangle's perimeter:

Perimeter of larger triangle = (3/2) × Perimeter of smaller triangle

Perimeter of larger triangle = (3/2) × 26 = 39

Therefore, the perimeter of the larger triangle is 39 units.