Given that \triangle FGH is similar to \triangle FED, Calculate DE to the hundedths place.

Ayaana Buck

Ayaana Buck

Answered question

2021-08-11

Given that FGH is similar to FED, Calculate DE to the hundedths place.

Answer & Explanation

delilnaT

delilnaT

Skilled2021-08-12Added 94 answers

Step 1
Triangle FGH is similar to triangle FED since, angle(F) is common to both the triangles,
and, angle(GHF) = angle(EDF)
and, remaining, angle(HGF) = angle(DEF)
Step 2
So, we have, by the triangle similarity,
DEDF=HGHF
So, DE(11+6)=4.258=0.53125
So, DE=17×0.53125
So, DE=9.03125=9.03
So, DE=9.03

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