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

In the diagram of GKJ below, LH||KJ,GL=12,LK=15, and GH=4. What is the length of GJ-example-1
User Ronay
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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.

User Sbeam
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