Question

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

Answer 1

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}`