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PLS ANSWER GUYS....IT IS VERY EARGENT.....PLS..

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Answer:

EF = 7.7 cm

Step-by-step explanation:

in the given figure

AB I| EF I|DC

given that :

EG = 3.5cm

GC = 10.5cm

DC= 23.1cm

AB=14cm.

solution :

In TRIANGLE GEF and GCD

\angle EFG = \angle GCD (vertical opposite angle )

\angle EFG = \angle CGD

Therefore

\bigtriangleup GEF \sim \bigtriangleup GCD

THUS ,

\FRAC{GE}{CG} = \frac{EF}{CD}

\frac{3.5}{10.5} = \frac{EF}{23.1}

On solving we get

EF = 7.7 cm



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