Question

Two similar triangles. The first triangle has a side length of 6 inches, which corresponds to the second triangle's side of 18 inches. The first triangle has a side length of 11 inches that corresponds to the missing side on the second triangle. If the triangles are similar, what is the length of the missing side

Answer 1

As they are similar triangles, it means their sides are proportional, then the ratio of the know sides is:

`6in\colon18in`

To find the length of the missing side we can use proportions as follows:

`\begin{gathered} (6in)/(18in)=(11in)/(x) \\ \text{Where x is the missing side, now solve for x} \\ x=(11in*18in)/(6in) \\ x=33in \end{gathered}`

Answer: The length of the missing side is 33 inches.