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b is the midpoint of (overline{ac}). find the length of the line segmen…

Question

b is the midpoint of (overline{ac}). find the length of the line segment (ac) if (ab = 48).
a) 48
b) 96
c) 12
d) 24

Explanation:

Step1: Recall the mid - point property

If \(B\) is the mid - point of \(\overline{AC}\), then \(AC = 2AB\).

Step2: Substitute the value of \(AB\)

Given \(AB = 48\), substitute into the formula \(AC=2AB\). So \(AC = 2\times48\).

$$AC=96$$

Answer:

B. 96