Math, asked by snehalpv11, 6 months ago

In the given figure, DE ║AC and DF ║ AE.

Prove that FE/BF=EC/BE

Answers

Answered by sivakumaarSK

20

Answer:

GIVEN:

In ∆BAC, DE || AC

BE/EC = BD/DA………..(1)

[ By Thales theorem(BPT)]

In ∆BAE, DF || AE (GIVEN)

BF/FE = BD/DA………..(2)

[ By Thales theorem(BPT)]

(From eq 1 and 2)

BF/FE = BE/EC

FE/BF = EC/BE [reciprocal the terms]

Hence proved.Step-by-step explanation:

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