Math, asked by amankhan44, 1 year ago

plss solve this question it is urgent

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Answers

Answered by rathibhagwati3
1

Answer:


Step-by-step explanation:


Given: ABC is a triangle; AD is the exterior bisector of 4A and meets BC

produced at D; BA is produced to F.


To prove: BA/AC = BD/DC


Construction: Draw CE||DA to meet AB at E.


Proof: In A ABC. CE||AD cut by AC.


∠CAD = ∠ACE (Alternate angles)

Similarly CE || AD cut by AB


∠FAD = ∠AEC (corresponding angles)

AC = AE (by isosceles △ theorem)


Now in △BAD, CE || DA

AE = DC (BPT)

AB = BD


But AC = AE (proved above)

AC = DC

AB = BD or

BA/AC = BD/DC (proved).

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