Question

1. in the following segment, if ac = 10 and bc = 4, what is the length of ab? 2 6 12 14

Explanation:

Step1: Recall segment - length relationship

We know that on a line - segment, if a point B lies between points A and C, then \(AC=AB + BC\). We need to find \(AB\).

Step2: Rearrange the formula

We can rewrite the formula \(AC = AB+BC\) as \(AB=AC - BC\).

Step3: Substitute the given values

Given \(AC = 10\) and \(BC = 4\), substituting these values into the formula \(AB=AC - BC\), we get \(AB=10 - 4\).

Step4: Calculate the result

\(AB = 6\).

Answer:

B. 6