The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.

(Figure is not drawn to scale.)

Which of the following options is closest to the distance (in miles) between points A and B?

A)6.71 miles

B)7.35 miles

C)8.66 miles

D)10.82 miles

EDIT: THE ANSWER IS D

A

Step-by-step explanation:

9^2=6^2 + x^2

45= x^2

6.7082 = x

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional