Consider the diagram.

line l is a perpendicular bisector of line segment a c. it intersects line segment a c at point b. line l also contains point d. the length of line segment a d is 16. the length of line segment b c is 9.
what is the length of segment ab?

7
9
18
25

AB = 9

Step-by-step explanation:

Given that line, l is a perpendicular bisector of line segment AC. It intersects line segment AC at point B.

So, we can conclude that AB = BC (1)

Also given that the length of line segment BC is 9.

Now, from equation (1) we can say that, AB = 9.

Therefore, the length of segment AB is 9. (Answer)

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,