Given:
The objective is to find the value of x.
Explanation:
The general formula using tangent segment theorem,
[tex]x^2=6\times(6+18)\text{ . . . .(1)}[/tex]
On further solving the equation (1).
[tex]\begin{gathered} x^2=6\times(24) \\ x^2=144 \end{gathered}[/tex]
Now, taking square root on both sides,
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{144} \\ x=12 \end{gathered}[/tex]
Thus, the value of x is 12.
Hence, option (3) is the correct answer.
