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

Answer:

Option (B)

Step-by-step 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.

$\frac{AC}{BC}= \frac{EC}{DC}$

$\frac{AB+BC}{BC}= \frac{ED+DC}{DC}$

$\frac{AB+6}{6}= \frac{24+8}{8}$

$\frac{AB+6}{6}= \frac{32}{8}$

$\frac{AB+6}{6}=4$

AB + 6 = 24

AB = 18

Option (B) will be the answer.