Given:
The objective is to find the value of x.
Step-by-step explanation:
The general formula using tangent segment theorem,

On further solving the equation (1).

Now, taking square root on both sides,
![\begin{gathered} \sqrt[]{x^2}=\sqrt[]{144} \\ x=12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/26n2xx46335sp1xof93w1rdl3df0pk2nih.png)
Thus, the value of x is 12.
Hence, option (3) is the correct answer.