Question

CD is the segment bisector of AB at D. If AD = 4x-1 and DB = 9x-21. what is the length of AD and AB

Answer 1

AD= 15

AB=30

Explanation:

We are given that the Point D bisect the line segment AB

Hence AD = DB

AD= 4x-1

BD=9x-21

Hence

4x-1=9x-21

adding 21 on both sides and subtracting 4x from both sides

4x-4x-1+21=9x-4x-21+21

-1+21=5x

5x=20

dividing both sides by x we get

x=4

Hence

AD = 4x-1

= 4(4)-1= 16-1=15

AD= 15

AB = 2 x AD

= 2 x 15

= 30