Question

What is the measure of segment PG?

Answer 1

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

$In \triangle G H T \& \triangle G J T$

$\begin{aligned}&\angle G J T=\angle G H T \quad\left(\text { each } 90^{\circ}\right) \\\\&\angle G T J=\angle H T G\end{aligned}$

$G T= G T (common)$

Hence $\triangle G H T=\triangle G J T (By AAS criteria)$

$G H=G J By cpct$

It is given that

$\mathrm{GH}=x+3$

$\ln =2 x-1$

Hence$G H=x+3=2 x-1$

$\text { as given } \begin{aligned}P G &=4 x+1 \\&=4 \times 4+1 \\&=17 \\\text { } & P G=17 \text { units }\end{aligned}$

In conclusion, The measure of the segment PG is given as

P G=17

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