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?

Answer 1

36
Because the smallest side of first triangle 5cm is a factor of another triangle 15cm
Let us consider the number to be multiplied be x
x = 15/5 = 3
Longest side of one triangle = 9cm
Longest side of another triangle = 9x = 9*3 = 36

Answer 2

36 in
Explanation:

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