Respuesta :

Answer:

MN = 4.5 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{MN}{JK}[/tex] = [tex]\frac{LN}{LK}[/tex] , substitute values

[tex]\frac{MN}{12}[/tex] = [tex]\frac{6}{16}[/tex] ( cross- multiply )

16MN = 72 ( divide both sides by 16 )

MN = 4.5 ft