What’s the correct answer for this question?

Answer:
[tex] 6[/tex]
Step-by-step explanation:
In the given figure, secants PA and PC are intersecting outside of the circle at point P.
PA = PB + AB = 7 + 5 = 12
PC = 14, PD =?
By the property of intersecting secants outside of a circle:
[tex] PB \times PA = PD\times PC\\
\therefore 7\times 12 = PD \times 14\\
\therefore 84 =PD \times 14\\\\
\therefore PD = \frac{84}{14}\\\\
\therefore PD = 6\\\\
[/tex]
Answer: PD = 6
Step-by-step explanation:
PD = PB + AB = 12
When two secant lines intersect each other outside a circle, the products of their segments are equal. This is:
PB x PA = PD x PC
7 x 12 = PD x 14
PD = 7 x 12 / 14
PD = 6