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

Respuesta :

Answer:

[tex]Ratio = 5 : 6[/tex]

Step-by-step explanation:

Given

Smaller

[tex]Sides:8\ 12\ 15[/tex]

Bigger

[tex]Longest = 18[/tex]

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:

[tex]Ratio = 15 : 18[/tex]

Divide by 3

[tex]Ratio = 15/3 : 18/3[/tex]

[tex]Ratio = 5 : 6[/tex]