Question

point c is the midpoint of \\(\overline{ab}\\) and point b is between points a and d. if ad = 13 and bd = 7, what is cd?
cd = \underline{quadquad}

Explanation:

Step1: Find AB length

Since \( AD = 13 \) and \( BD = 7 \), by segment subtraction \( AB=AD - BD=13 - 7 = 6 \).

Step2: Find BC length

As \( C \) is the midpoint of \( AB \), \( BC=\frac{1}{2}AB=\frac{1}{2}\times6 = 3 \).

Step3: Find CD length

Using segment addition, \( CD = BC + BD=3 + 7 = 10 \).

Answer:

\( 10 \)