Respuesta :

cos=adj/hyp

=0.5/1.3

CD=0.4

*add CD+BC to find BD

So

0.4+1.0

BD=1.4cm

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