Solve for 'x' Side Splitter Theorem

Question

asked Dec 7, 2021 112k views

1 Answer

Opeyemi Odedeyi · Answer 1 · 2021-12-12T04:02:43+0000

Answer:

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