Answer:
D = 5
Explanation:
The line from center of the circle perpendicularly biscets chord. Hence, you can form a right-angled triangle with the radius as the hypotenuse (See picture)
So now you use Pythagoras theorem to solve for d:
a^2 +b^2 =c^2
12^2 +b^2 = 13^2
b^2 = 13^2 - 12^2
b =

b= 5
Hence, d = 5