Question

point c is on line segment bd. given cd = 2 and bc = 8, determine the length of bd.

Explanation:

Step1: Use the segment addition postulate

If \(C\) is on \(\overline{BD}\), then \(BD = BC+CD\)

Step2: Substitute the given values

Given \(BC = 8\) and \(CD=2\), substitute into the formula \(BD=BC + CD\)

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Answer:

\(BD = 10\)