Question

Recovery2AABC ~ AQRSFind the missing side length, n.Help ResourcesB3A7nn = [?]EnterRihte Reserved

Answer 1

14

Step-by-step explanation:

Note that two triangles are said to be similar if the lengths of their corresponding sides are in proportion.

Given that triangles ABC and QRS are similar, we can go ahead and determine the missing side length, n, by setting up proportions as seen below;

`(AB)/(QR)=(CA)/(SQ)`
`(3)/(6)=(7)/(n)`

Let's cross and multiply;

`\begin{gathered} 3\cdot n=7\cdot6 \\ 3n=42 \\ n=(42)/(3) \\ n=14 \end{gathered}`