Respuesta :

Answer:

x = 13.5 units

Step-by-step explanation:

Segment drawn to join the two sides of the triangle is parallel to third side of the triangle.

Therefore, by basic proportionality theorem:

[tex] \frac{12}{27} = \frac{6}{x} \\ \\ x = \frac{27 \times 6}{12} \\ \\ \huge \red{ \boxed{x = 13.5 \: units}}[/tex]