Answer: 11.6
Step-by-step explanation:
We know that a radius that is perpendicular to a chord divides the chord into two equal parts .
Then by Pythagoras theorem of right triangle ,we have
[tex](6.5)^2=3^2+(\dfrac{x}{2})^2\\\\\Rightarrow\ 42.25=9+\dfrac{x^2}{4}\\\\\Rightarrow\ \dfrac{x^2}{4}=33.25\\\\\Rightarrow\ x^2=134\\\\\Rightarrow\ x=\sqrt{134}=11.5758369028\approx11.6[/tex]
Hence,the value of x = 11.6
