Respuesta :

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.