Question

in the figure below, b is between a and c, and c is between b and d. if bd = 11, bc = 7, and ac = 12, find ad.

Explanation:

Step1: Find AB

Since $AC = AB + BC$, then $AB=AC - BC$. Given $AC = 12$ and $BC = 7$, so $AB=12 - 7=5$.

Step2: Find CD

Since $BD=BC + CD$, then $CD=BD - BC$. Given $BD = 11$ and $BC = 7$, so $CD=11 - 7 = 4$.

Step3: Find AD

$AD=AB + BC+CD$. Substitute $AB = 5$, $BC = 7$ and $CD = 4$ into the formula, we get $AD=5 + 7+4=16$.

Answer:

16