Question

in the given figure, find \\( \overline { a b } \\), given that \\( \overline { a c } = 14 \\) and \\( \overline { b c } = 9 \\).

Explanation:

Step1: Use the segment addition postulate

From the figure, we know that $\overline{AC}=\overline{AB}+\overline{BC}$.

Step2: Solve for $\overline{AB}$

Rearrange the formula to get $\overline{AB}=\overline{AC}-\overline{BC}$. Substitute $\overline{AC} = 14$ and $\overline{BC}=9$ into the formula: $\overline{AB}=14 - 9$.

Step3: Calculate the value

$14-9 = 5$.

Answer:

5