Find the value of w.

Answer:
w = 3.2 m
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KJ}{KH}[/tex] = [tex]\frac{LJ}{IH}[/tex] , that is
[tex]\frac{w}{8}[/tex] = [tex]\frac{3.4}{8.5}[/tex] ( cross- multiply )
8.5w = 27.2 ( divide both sides by 8.5 )
w = 3.2 m