Answer:
BD = 2.2 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{CD}[/tex] = [tex]\frac{BC}{DE}[/tex] , substitute values
[tex]\frac{2.4}{CD}[/tex] = [tex]\frac{1.0}{0.5}[/tex] ( cross- multiply )
CD = 1.2
Thus
BD = BC + CD = 1 + 1.2 = 2.2 cm
