Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 Length Of FH In Units class=

Sagot :

Using the perpendicular bisector theorem, we have the following:

[tex]GF=GH[/tex]

then we can write the following equation:

[tex]3x-8=16[/tex]

solving for x, we have:

[tex]\begin{gathered} 3x-8=16 \\ \Rightarrow3x=16+8=24 \\ \Rightarrow x=\frac{24}{3}=8 \\ \\ x=8 \end{gathered}[/tex]

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

[tex]\begin{gathered} FH=FJ+JH=8+8=16 \\ \Rightarrow FH=16 \end{gathered}[/tex]

therefore, FH = 16

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.