Question

Find the length of QR. round to the nearest tenth.

Answer 1

The length of the side QR is;

`QR=9.4`

Step-by-step explanation:

Given the figure in the attached image;

The triangle MON and triangle PRQ are similar.

So;

`(NO)/(OM)=(QR)/(RP)`

Given;

`\begin{gathered} NO=6 \\ OM=7 \\ RP=11 \end{gathered}`

Substituting the given values;

`\begin{gathered} (NO)/(OM)=(QR)/(RP) \\ (6)/(7)=(QR)/(11) \\ QR=(6*11)/(7) \\ QR=9.4 \end{gathered}`

Therefore, the length of the side QR is;

`QR=9.4`