Question

point c is on line segment \\(overline{bd}\\). given \\(cd = 5\\) and \\(bc = 4\\), determine the length \\(overline{bd}\\).

Explanation:

Step1: Understand segment addition

Since C is on \(\overline{BD}\), \(BD = BC + CD\).

Step2: Substitute values

Given \(BC = 4\) and \(CD = 5\), so \(BD = 4 + 5\).

Step3: Calculate result

\(4 + 5 = 9\).

Answer:

The length of \(\overline{BD}\) is \(9\).