Question

A

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

Answer 1

x = 4

Explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

`(BD)/(AD)` =
`(BE)/(EC)` ( substitute values )

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

3x = 2(x + 2)

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

x = 4