1. the triangles above are similar. what is the ratio (larger to smaller) of the perimeters? a. 25/9 b. 1/6 c. 5/3 d. 9/25 2. the triangles above are similar. what is the ratio (larger to smaller) of the area? a. 25/9 b. 15/9 c. 5/3 d. 9/25

given the side of a large triangle is 15ft and the side of a small triangle is 9ft.

we know the following facts about similar triangles : -

if scale factor (k) is the ratio of side of large triangle to the side of smaller triangle, then

1. ratio (larger to smaller) of the perimeters = k

2. ratio (larger to smaller) of the areas = k²

now, scale factor of given similar triangles would be side of larger triangle over side of smaller triangle.

scale factor, k =

so, ratio (larger to smaller) of the perimeters = k = .

ratio (larger to smaller) of the areas = k² = .