Question

Corresponding sides of two similar triangles are 6 and 15. If the perimeter of the smaller triangle is 22, what is the perimeter of the larger triangle?

Answer 1

The perimeter of the larger triangle is 55

Here, we want to get the perimeter of the larger triangle

To find the perimeter of a rectangle, we add the lengths of the sides together

Now, since it involves addition only, then the ratio of the sides is same as the ratio of the perimeter

The ratio of the sides are 15/6 which is 1 to 21/2

So we simply need to multiply the perimeter of the smaller triangle by 2.5 to get the perimeter of the larger triangle

Mathematically, that would be 2.5 * 22 = 55