Question

Solving for 'x' It's Side Splitter Theorem

Answer 1

12-x=x+3

12-3=x+x

9=2x

9/2=x

4.5=x

Answer 2

x = 3

Explanation:

The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is

`(12-x)/(x+3)` =
`(6)/(4)` ( cross- multiply )

6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides

6x + 18 = 48 - 4x ( add 4x to both sides )

10x + 18 = 48 ( subtract 18 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3