Question

I’m the figure below, the segment is parallel to one side of the triangle. Find the value of x

Answer 1

x = 18

Explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally, hence

`(x)/(12)` =
`(x+6)/(16)` ( cross- multiply )

16x = 12(x + 6)

16x = 12x + 72 ( subtract 12x from both sides )

4x = 72 ( divide both sides by 4 )

x = 18

Answer 2

18

Explanation:

12/x = 16 / (x + 6)

Cross multiply

16x = 12(x + 6)

Distributive property

16x = 12x + 72

4x = 72

x = 18