If AABC ~ ADEF, what is the length of DE?

WILL GIVE BRAINIEST TO THE RIGHY ANSWER NEED HELP ASAP check the picture

If AABC ADEF what is the length of DE WILL GIVE BRAINIEST TO THE RIGHY ANSWER NEED HELP ASAP check the picture class=

Respuesta :

Answer:

21 units

Step-by-step explanation:

[tex] \triangle ABC\sim \triangle DEF... (given) [/tex]

[tex]\huge \therefore \frac{AB}{DE} =\frac{BC}{EF}.. (csst) [/tex]

[tex] \huge \therefore \frac{8.4}{x} =\frac{10}{25} [/tex]

[tex] \huge \therefore x=\frac{25\times 8.4}{10} [/tex]

[tex] \huge \therefore x=\frac{210}{10} [/tex]

[tex]\huge \therefore x=21 [/tex]

Hence, length of DE = 21 units