Question

in the figure below, b is between a and c, and c is between b and d. if bd = 13, bc = 6, and ad = 17, find ac.
ac =

Explanation:

Step1: Find the length of \(AB\)

Since \(AD = AB+BD\), then \(AB=AD - BD\).
Substitute \(AD = 17\) and \(BD = 13\) into the formula: \(AB=17 - 13=4\).

Step2: Find the length of \(AC\)

Since \(AC=AB + BC\).
Substitute \(AB = 4\) and \(BC = 6\) into the formula: \(AC=4 + 6=10\).

Answer:

\(10\)