Math, asked by n5536015, 5 months ago

10. The bisector of interior ∠A of ΔABC meets BC in D and bisector of external ∠A
meets BC (produced) in E. Prove that BD/BE=CD/CE.
.

Answers

Answered by manjushahanwate9678
6

Answer:

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Answered by Anonymous
3

Answer:

hope u understand this if not able to u can ask which part is not clear

To prove: BD/BE = CD/CE

Proof: In △ABC, AD bisects interior ∠A

∴ AB/AC = BD/DC (Angle bisector theorem) ..........1)

Similarly in △ABC, AE bisects exterior ∠A

∴ AB/AC BE/CE ...........2)

From equation (1) and (2)

AB/AC = BD/DC = BE/CE = CD/CE

Hence proved.

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