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

NEED HELP ASAP please and thanks In advance

If AABC ADEF What Is The Length Of DE NEED HELP ASAP Please And Thanks In Advance class=

Sagot :

Akposevictoridn

Answer:

DE = 21

Step-by-step explanation:

Recall: the ratio of the corresponding side lengths of similar triangles are equal

Given that ∆ABC ~ ∆DEF, therefore,

AB/DE = BC/EF = AC/DF

AB = 8.4

DE = x

BC = 10

EF = 25

AC = 16.5

DF = 41.25

Let's find DE using AB/DE = BC/EF. Thus:

8.4/x = 10/25

Cross multiply

x*10 = 25*8.4

10x = 210

Divide both sides by 10

x = 210/10

x = 21

DE = x = 21

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