The measure of the segment PG is mathematically given as
P G=17units. Option D
What is the measure of the segment PG?
Generally, the equation for is mathematically given as
[tex]In $\triangle G H T$ \& $\triangle G J T$[/tex]
[tex]\begin{aligned}&\angle G J T=\angle G H T \quad\left(\text { each } 90^{\circ}\right) \\\\&\angle G T J=\angle H T G\end{aligned}[/tex]
[tex]G T=$ G $T$ (common)[/tex]
Hence [tex]\triangle G H T=\triangle G J T$ (By AAS criteria)[/tex]
[tex]G H=G J$ By cpct[/tex]
It is given that
[tex]$\mathrm{GH}=x+3$$[/tex]
[tex]\ln =2 x-1[/tex]
Hence[tex]$G H=x+3=2 x-1$$[/tex]
[tex]\text { as given } \begin{aligned}P G &=4 x+1 \\&=4 \times 4+1 \\&=17 \\\text { } & P G=17 \text { units }\end{aligned}[/tex]
In conclusion, The measure of the segment PG is given as
P G=17
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