bisects and is perpendicular to line segments and . = 96 inches, and line segment = 52 inches. What is the length of ?
52
To find the length of segment AB, we can use the properties of perpendicular bisectors.
First, let's draw a diagram. Let AB be the segment we want to find the length of, and CD and EF be the given line segments.
```
A --------------- B
| |
C ------ D ------ E ------- F
```
We know that line segment CD bisects AB, meaning it divides AB into two equal parts. So, AC = CB.
Now, line segment CD is also perpendicular to AB which means it forms a 90-degree angle. This implies that CD and AB are opposite sides of a rectangle.
Since AD = 96 inches and DB = 52 inches, the total length of AB is the sum of AD and DB. We can find the length of AB by adding these two segments together.
AB = AD + DB
= 96 inches + 52 inches
= 148 inches
Therefore, the length of segment AB is 148 inches.