Question

In the diagram of GKJ below, LH||KJ,GL=12,LK=15, and GH=4. What is the length of GJ

Answer 1

Using Thales' theorem, we have the following proportion:

`(GL)/(GK)=(GH)/(GJ)`

So we have that:

`\begin{gathered} (12)/(12+15)=(4)/(GJ) \\ (12)/(27)=(4)/(GJ) \\ (3)/(27)=(1)/(GJ) \\ (1)/(9)=(1)/(GJ) \\ GJ=9 \end{gathered}`

So the length of GJ is 9.