Question

The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the

larger triangle?

1

2:3

2

4.9

3

5:6

4

25.36

Answer 1

`Ratio = 5 : 6`

Explanation:

Given

Smaller

`Sides:8\ 12\ 15`

Bigger

`Longest = 18`

Required

The ratio of the perimeter of smaller to larger

The ratio of the perimeter is the same as the ratio of the side lengths.

Considering the largest, sides:

We have:

`Ratio = 15 : 18`

Divide by 3

`Ratio = 15/3 : 18/3`

`Ratio = 5 : 6`