How to solve this question

Answer:
BC = 3.6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AC}{AE}[/tex] , substitute values
[tex]\frac{BC}{1.2}[/tex] = [tex]\frac{4.5}{1.5}[/tex] ( cross- multiply )
1.5 BC = 5.4 ( divide both sides by 1.5 )
BC = 3.6