Question

Analyze the diagram below and complete the instructions that follow.

A
PLEASE HELP!!! 20 points
E
24
B
D
6
ca
C
Find the length of AB-
A. 16
B. 18
C. 22
D. 32

Answer 1

Option (B)

Explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

`(AC)/(BC)= (EC)/(DC)`

`(AB+BC)/(BC)= (ED+DC)/(DC)`

`(AB+6)/(6)= (24+8)/(8)`

`(AB+6)/(6)= (32)/(8)`

`(AB+6)/(6)=4`

AB + 6 = 24

AB = 18

Option (B) will be the answer.