Math, asked by devpal73391, 11 months ago

Line segment DF intersects the side AC of a triangle ABC at the point E such that E is the midpont of CA and angle AEF=angle AFE. Prove that BD/CD=BF/CE

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Answered by KartikSharma13
28
prove that BD/CD = BF/CE


Draw CG || DF In ΔBDF

CG || DF

∴ BD/CD = BF/GF   .............(1)  BPT

In ΔAFE

∠AEF=∠AFE

⇒AF=AE

⇒AF=AE=CE..............(2)

In ΔACG

E is the mid point of AC

⇒ FG = AF

∴ From (1) & (2)

BD/CD   =  BF/CE

Answered by Nitinmundhra
22

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