Question

Find the value of x.

Answer 1

x = 4

Explanation:

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

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

3x = 2(10 - x)

3x = 20 - 2x ( add 2x to both sides )

5x = 20 ( divide both sides by 5 )

x = 4