Answer:
The answer to your question is letter C. 36 in
Step-by-step 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
[tex]\frac{length od the smallest side big triangle}{length of the smallest side small triangle} = \frac{length if the longest side of the big triangle}{length of the longest side of the small triangle}[/tex]
[tex]\frac{15}{5} = \frac{y}{12}[/tex]
2.- Solve for y
[tex]y = \frac{12 x 15 }{5}[/tex]
3.- Simplifying and result
y = 36 in
