#### Answer

The distance between the chords is 7.

#### Work Step by Step

Let x represent the distance between chord AB and point P. Let y represent the distance between chord CD and point P.
x$^2$=25-16
x$^2$=9
x$^2$=3
y$^2$=25-9
y$^2$=16
y=4
x+y=3+4=7