Question

Find the value of x.
B
6
X+1
D
E
С
A
x = [?]

Answer 1

x = 2

Explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

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

6x = 4(x + 1)

6x = 4x + 4 ( subtract 4x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2