Question

point c is the mid - point 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 the length of AB

Since $AD = 13$ and $BD=7$, and $AD=AB + BD$, then $AB=AD - BD$. So $AB = 13 - 7=6$.

Step2: Find the length of CB

Because $C$ is the mid - point of $AB$, then $CB=\frac{AB}{2}$. Since $AB = 6$, $CB=\frac{6}{2}=3$.

Step3: Find the length of CD

We know that $CD=CB + BD$. Substitute $CB = 3$ and $BD = 7$ into the formula, we get $CD=3 + 7 = 10$.

Answer:

$10$