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} (GL)/(LK)=(GH)/(HJ) \\ (2)/(12)=(GH)/(66) \\ GH=(2*66)/(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.