Minimizing a Chord on a Circle
Geometry
Points $A$, $B$, and $C$ lie on a circle with center $O$ and radius 5. If $AB = 6$ and $BC = 8$, what is the minimum possible value of $AC$?
A$\frac{7}{5}$
B$\frac{14}{5}$
C$\frac{17}{5}$
D$\frac{21}{5}$