LashondaK43238 LashondaK43238
  • 03-11-2022
  • Mathematics
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In the diagram, find the segment length of FD.(Assume FG is tangent.) G X +9 D 18 E 12

In the diagram find the segment length of FDAssume FG is tangent G X 9 D 18 E 12 class=

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AmylaC262540 AmylaC262540
  • 03-11-2022

ANSWER

FD = 27

EXPLANATION

By the tangent-secant theorem:

[tex]FG^2=EF\cdot FD[/tex]

So we have:

[tex]\begin{gathered} 18^2=12\cdot FD \\ FD=\frac{18^2}{12} \\ FD=27 \end{gathered}[/tex]

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