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In Triangle FGH, GJ is an angle bisect or of G and perpendicular to FH. What is the length of FH in units?

In Triangle FGH, GJ is an angle bisect or of G and perpendicular to FH. What is the-example-1
User Phaedryx
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1 Answer

16 votes
16 votes

Using the perpendicular bisector theorem, we have the following:


GF=GH

then we can write the following equation:


3x-8=16

solving for x, we have:


\begin{gathered} 3x-8=16 \\ \Rightarrow3x=16+8=24 \\ \Rightarrow x=(24)/(3)=8 \\ \\ x=8 \end{gathered}

we get x = 8. Then, the length of FH is:


\begin{gathered} FH=FJ+JH=8+8=16 \\ \Rightarrow FH=16 \end{gathered}

therefore, FH = 16

User EthanP
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