Question

Solve for 'x' Side Splitter Theorem

Answer 1

x = 10

Explanation:

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

`(2x-5)/(10)` =
`(28-8)/(8)` =
`(20)/(8)` ( cross- multiply )

8(3x - 5) = 200 ← distribute left side

24x - 40 = 200 ( add 40 to both sides )

24x = 240 ( divide both sides by 24 )

x = 10