In the diagram, secant AP¯¯¯¯¯¯¯¯

intersects the circle at points A
and B,
and secant CP¯¯¯¯¯¯¯¯
intersects the circle at points C
and D.
The segments intersect outside the circle at point P.

A circle with no center shown and two secants as described in the text. Points A, B, D and C lie on the circle. Segment A B equals 5, segment B P equals 7, and segment C P equals 14. What is the length of PD¯¯¯¯¯¯¯¯?
Responses

12
12

6
6

5
5

4

5