Question

In the diagram below, segment PB is a tangent. IF AC = 15 and PA = 5, find PB.

Answer 1

To answer this question we need to remember that:

In this case this means that:

`PB^2=PA(PA+AC)`

Plugging the values given we have:

`\begin{gathered} PB^2=(5)(5+15) \\ PB^2=100 \\ PB=√(100) \\ PB=10 \end{gathered}`

Therefore, the length of PB is 10 and the asnwer is b.