Question

Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]

Answer 1

x = 4

Explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

`(BD)/(AD)` =
`(BE)/(CE)` , substitute values

`(x+2)/(x)` =
`(3)/(2)` ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4