Question

if p is the midpoint of ab and ab = 12, what is the length of pb?
6
9
18
24

Explanation:

Step1: Understand the mid - point property

If \(P\) is the mid - point of \(AB\), then \(AP = PB\) and \(AB=AP + PB\). Since \(AP = PB\), we can say \(AB = 2PB\).

Step2: Solve for \(PB\)

Given \(AB = 12\), and \(AB = 2PB\). Then \(PB=\frac{AB}{2}\). Substitute \(AB = 12\) into the formula, we get \(PB=\frac{12}{2}=6\).

Answer:

6