Answer:
x=20.8 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
In a circle, perpendicular bisector of a chord passes through the center of a circle
That means
x/2 is the base of the right triangle of the figure
Applying the Pythagorean Theorem in the right triangle
[tex]12^2=6^2+(\frac{x}{2})^2[/tex]
Solve for x
[tex]144=36+\frac{x^2}{4}\\\\\frac{x^2}{4}=144-36\\\\\frac{x^2}{4}=108\\\\x^2=432\\\\x=20.8\ units[/tex]
