Question

1. if point b is between points a and c on a line segment, and ab = 5 cm and bc = 8 cm, what is the length of ac?

a. 3 cm
b. 13 cm
c. 40 cm
d. 10 cm

Explanation:

Step1: Apply the segment addition postulate

If \(B\) is between \(A\) and \(C\) on a line segment, then \(AC = AB+BC\).

Step2: Substitute the given values

Given \(AB = 5\mathrm{cm}\) and \(BC = 8\mathrm{cm}\), we substitute into the formula: \(AC=5 + 8\).

Step3: Calculate the sum

\(5+8=13\).

Answer:

B. \(13\mathrm{cm}\)