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2) points a, b, and c are collinear, and b is between a and c. if ac = …

Question

  1. points a, b, and c are collinear, and b is between a and c. if ac = 30 cm and bc = 18 cm, what is the length of ab?

a) 12 cm
b) 48 cm
c) 2.5 cm
d) 15 cm

Explanation:

Step1: Identify the relationship

Since A, B, C are collinear and B is between A and C, we have $AC = AB+BC$.

Step2: Rearrange the formula to find AB

$AB=AC - BC$.

Step3: Substitute the given values

Given $AC = 30$ cm and $BC = 18$ cm, then $AB=30 - 18$.
$AB = 12$ cm.

Answer:

A. 12 cm