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 = square)

Explanation:

Step1: Find AB length

Since \( AD = AB + BD \), we can find \( AB \) by subtracting \( BD \) from \( AD \). So \( AB = AD - BD = 13 - 7 = 6 \).

Step2: Find CB length

Because \( C \) is the midpoint of \( \overline{AB} \), \( CB=\frac{AB}{2} \). Substituting \( AB = 6 \), we get \( CB=\frac{6}{2}=3 \).

Step3: Find CD length

To find \( CD \), we add \( CB \) and \( BD \). So \( CD = CB + BD = 3 + 7 = 10 \).

Answer:

\( 10 \)