Question

In
the given tig, EG = 3.5cm, GC = 10.5cm, DC= 23.1cm, AB=14cm.
calculate EF and AC, if ABI|EFI|DC​

Answer 1

EF = 7.7 cm

Step-by-step explanation:

in the given figure

AB I|EFI|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

#Learn more:

In  the given tig, EG = 3.5cm, GC = 10.5cm, DC= 23.1cm, AB=14cm.

calculate EF and AC, if ABI|EFI|DC​

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