In the diagram, find the segment length of FD.(Assume FG is tangent.) G X +9 D 18 E 12

Newzad asked Feb 4, 2023

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Newzad asked Feb 4, 2023

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30 votes

ANSWER

FD = 27

Step-by-step explanation

By the tangent-secant theorem:

$FG^2=EF\cdot FD$

So we have:

$\begin{gathered} 18^2=12\cdot FD \\ FD=(18^2)/(12) \\ FD=27 \end{gathered}$

Lucidbrot answered Feb 10, 2023

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