Use the Side Splitter Theorem (also known as the Basic Proportionality Theorem)
5/3 = 6/x
5x = 3 * 6
5x = 18
x = 3.6
Answer: B. 3.6
In the given triangle the lines are parallel.We can apply Triangle proportionality theorem.
The theorem states: If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
We can form a proportion using this theorem :
[tex] \frac{5}{3} =\frac{6}{x} [/tex]
To solve x we cross multiply:
5x=18
Dividing both sides by 5 we get
x=3.6
Second option.