Question

The ratio of corresponding sides of two similar figures is 3:8. The sides of the smaller triangle are 8 centimeters, 11 centimeters, and 14 centimeters long. What is the perimeter of the larger triangle?

Answer 1

Answer: The perimeter of the large triangle is 88 cm.

Step-by-step explanation:

It is given that the ratio of corresponding sides of two similar figures is 3:8. The sides of the smaller triangle are 8 centimeters, 11 centimeters, and 14 centimeters long.

If the sides are is in the ratio of 3:8 then their perimeter is als in the ratio of 3:8.

The perimeter of small triangle is,

`S_S=8+11+14=33`

The ratio of the small and large triangle is 3:8, Let
`S_L` is the perimeter of large triangle.

`(S_S)/(S_L) =(3)/(8)`

`(33)/(S_L) =(3)/(8)`

`33* (8)/(3)=S_L`

`88=S_L`

Therefore the perimeter of the large triangle is 88 cm.