Question

the diagram of collinear points is shown with ab = 5, bf = 20, ac = 12, cf = 13, ad = 15 and df = 10.
a b c d e f
a. bc = b. cd = c. ab + bd =

Explanation:

Step1: Find BC

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

Step2: Find CD

Since $AD = 15$ and $AC = 12$, and $AD=AC + CD$, then $CD=AD - AC$.
$CD=15 - 12 = 3$

Step3: Find BD

Since $BD=BC + CD$, and $BC = 7$, $CD = 3$, then $BD=7 + 3=10$. And $AB + BD=5+10 = 15$

Answer:

a. $BC = 7$
b. $CD = 3$
c. $AB + BD=15$