Question

Two pieces of cloth are shaped like similar triangles. The lengths of the sides of the first piece of cloth are 5 inches, 9 inches, and 12 inches. The length of the shortest side of the second piece of cloth is 15 inches. What is the length of the longest side of the second piece of cloth?

A. 19in.
B. 22in.
C. 36in.
D. 27in.

Answer 1

C. 36in.

Explanation:

I took this quiz.

Answer 2

The answer to your question is letter C. 36 in

Explanation:

Data

Length of the sides of the smallest triangle 5 in, 9 in and 12 in

Length of the smallest side of the biggest triangle 15 in, x, y

Process

1.- Use proportions to solve this problem

`(length od the smallest side big triangle)/(length of the smallest side small triangle) = (length if the longest side of the big triangle)/(length of the longest side of the small triangle)`

`(15)/(5) = (y)/(12)`

2.- Solve for y

`y = (12 x 15 )/(5)`

3.- Simplifying and result

y = 36 in