Answer: 5 inches
Explanation:
Perpendicular bisectors must be split directly in half, as they are *bi*sectors, meaning "*two* sections"
Perpendicular means when two angles come together to create a 90° angle
This means that angle BDA is also a 90 degree angle
Since line AC is the line segment split by the perpendicular line segment BD, then you can assume that it is the only 8 inch line, according to multiple laws of geometry. This indicates that segment BC and segment BA must be congruent.