Question

7. Find the value of x and the length of AB.

14E
8
D
A
2x
XB
C
a. x = 1.5, AB=6
b. x = 14/3, AB= 28/3
c. x = 1.5, AB = 3
d. x = 14/3, AB=28

Answer 1

c. x = 1.5, AB = 3

(EB)//(DC)

apply Thales' theorem

AB/AC = AE/AD

2x/2x+4 = 6/14

2x×14 = 6(2x+4)

28x=12x+14

28x-12x=14

16x = 14

find x :

x=14/16 =1.5

AB = 2x= 2*1.5=3

Explanation: