As they are similar triangles, it means their sides are proportional, then the ratio of the know sides is:
[tex]6in\colon18in[/tex]To find the length of the missing side we can use proportions as follows:
[tex]\begin{gathered} \frac{6in}{18in}=\frac{11in}{x} \\ \text{Where x is the missing side, now solve for x} \\ x=\frac{11in\times18in}{6in} \\ x=33in \end{gathered}[/tex]Answer: The length of the missing side is 33 inches.
