Question

PLEASE HELP

Given that AABE~ AACD, what is the value of x?
A.
B.
C.
D.
1
4
6
12
5
6 E
A
2
C
X+4
B

Answer 1

6

Explanation:

We can begin by finding EA, which is 1 unit.

Using similar triangles AEB and ADC, we can set up a ratio.

1:6=2:x+6.

if a:b=c:d, then ad=bc

x+6=12

x=6

Feel free to tell me if I did anything wrong! :)

Answer 2

C

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(AB)/(AC)` =
`(AE)/(AD)` ( substitute values )

`(2)/(2+x+4)` =
`(6-5)/(6)`

`(2)/(x+6)` =
`(1)/(6)` ( cross- multiply )

x + 6 = 12 ( subtract 6 from both sides )

x = 6