Give PT = 7x - 11 and PR = 2x + 3.
Observe that, PT = PR
[tex]\Rightarrow7x-11=2x+3[/tex]
Solving for x; we would get
[tex]\begin{gathered} \text{ Collecting like terms} \\ 7x-2x=11+3 \\ \Rightarrow5x=14 \\ \Rightarrow x=\frac{14}{5} \end{gathered}[/tex]
Hence, RT = 2 multiplied by PT or 2 multiplied by RT.
[tex]\begin{gathered} RT=2(2x+3) \\ \text{ Since }x=\frac{14}{5}, \\ RT=2(2(\frac{14}{5})+3)=2(\frac{28}{5}+3)=\frac{86}{5}\approx17.2 \end{gathered}[/tex]
Therefore, RT is 17.2
