Question

in the Given ....
EG= 3.5cm,
GC=10.5cm
DC=23.1cm
AB= 14cm
Calculate EF and AC ,
If AB || EF || DC ..
Figure Attached..


pls answer...I'll mark Brainliest..
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Answer 1

Answer:

in triangle GEF and GCD

Angle EFG = Angle GCD (VOA)

Angle EFG = Angle CGD

Therefore triangles are similar

GE/CG = EF/CD

Putting the values we get EF=7.7 cm

Answer 2

Answer:

In triangle EGF and triangle CGD

• Angle EGF = Angle CGD (VOA)
• Angle EFG = Angle D (Alternate angles)

So therefore, Triangle EGF AND CGD ARE SIMILAR (BY A.A. POSTULATE)

NOW,

EF/DC = EG/GC (Corresponding parts of similar triangles are proportional)

EF/23.1 = 3.5/10.5

• EF = 0.77cm

EC = EG+GC

( 3.5 + 10.5)cm

• EC = 14cm

Triangle ABC ND EFC ARE SIMILAR BY A.A.A.

NOW,

AC/EC = AB/EF

AC/14 = 14/0.77

• AC = 254.5cm

Hope it helps plz mark me as brainliest^^Thnku

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