Question

1. bf is the perpendicular bisector of ac. ec is the perpendicular bisector of bd. suppose ac = 24, what is the length of fc. show your work for full credit!!! type a response

Explanation:

Step1: Recall the property of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts. Since $BF$ is the perpendicular bisector of $AC$, it divides $AC$ into two equal segments. Let the intersection of $BF$ and $AC$ be point $F$. So, $AF = FC$.

Step2: Calculate the length of $FC$

Given that $AC=24$. Since $FC=\frac{1}{2}AC$ (by the property of the perpendicular bisector), we substitute $AC = 24$ into the formula. Then $FC=\frac{24}{2}=12$.

Answer:

$12$