Question

In the diagram below, segment PB is a tangent. IF AC = 18 and PA = 6, find PB.

Answer 1

Step-by-step explanation

we have a secant and a tangent

To solve the question, we will apply the intersecting secant and tangent theorem

So, for the question

we have

`\begin{gathered} PB^2=PA(PA+AC) \\ \\ PB^2=6(6+18) \\ \\ PB^2=6(24) \\ \\ PB=144 \\ \\ PB=12 \end{gathered}`

Therefore, the value of PB is 12