Question

in the figure below, b is between a and c, and c is between b and d. if bd = 5, bc = 3, and ac = 11, find ad.

Explanation:

Step1: Find length of CD

Since $BD = BC+CD$ and $BD = 5$, $BC = 3$, then $CD=BD - BC$. So $CD = 5 - 3=2$.

Step2: Find length of AD

Since $AD=AC + CD$ and $AC = 11$, $CD = 2$, then $AD=11 + 2$. So $AD = 13$.

Answer:

$13$