I need help with find the length of side ACcan \: u \: help \: me \: on \: us

Question

I need help with find the length of side AC
`can \: u \: help \: me \: on \: us`

Answer 1

`AC\text{ = 16}`

When two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

`\begin{gathered} (AB)/(AC)\text{ = }(PQ)/(PR) \\ (20)/(AC)\text{ = }(50)/(40) \\ \\ AC\text{ = }(40*20)/(50)\text{ = 16} \end{gathered}`