Question

In the diagram of GKJ below, LH|KJ, GL=2, LK=12, and HJ=66. What is the length of GJ? G 2 L H 12 66 K J Answer: Submit Answer

Answer 1

Using the basic proportionality theorem,

$\begin{gathered} \frac{GL}{LK}=\frac{GH}{HJ} \\ \frac{2}{12}=\frac{GH}{66} \\ GH=\frac{2\times66}{12} \\ GH=11 \end{gathered}$

The value of GJ can be determined as,

$\begin{gathered} GJ=GH+HJ \\ =11+66 \\ =77 \end{gathered}$

Thus, the value of GJ is 77.