Question

In the diagram below, segment PB is a tangent. IF AC = 5 and PA = 4, find PB.

Answer 1

Explanation

Given that AC = 5 and PA = 4, we can find PB below.

$\begin{gathered} PB^2=PA(PA+AC) \\ PB^2=4(4+5) \\ PB^2=4(9) \\ PB^2=36 \\ PB=\sqrt{36} \\ PB=6 \end{gathered}$

Answer: Option D