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We will be happy to post videos as per your requirements also. Do write to us.Exterior angle bisector theorem : The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.
|1) CE || DA||1) By construction|
|2) ∠1 = ∠3||2) Alternate interior angle|
|3) ∠2 = ∠4||3) Corresponding angle (CE ||DA and BK is a transversal|
|4) AD is a bisector of ∠A||4) Given|
|5) ∠1 = ∠2||5) Definition of angle bisector|
|6) ∠3 = ∠4||6) Transitivity (from 2 and 4)|
|7) AE = AC||7) If angles are equal then side opposite to them are also equal|
|8) BD / CD = BA/EA||8) By Basic proportionality theorem(EC ||AD)|
|9) BD /CD = AB/AE||9) BA = AB and EA = AE|
|10) BD /CD = AB /AC||10) AE = EC and from(7)|
|1) AD is the internal bisector of ∠A||1) Given|
|2) AB / AC = BD / DC||2) By Internal angle bisector theorem|
|3) AE is an external bisector of ∠A||3) Given|
|4) AB/AC = BE / CE||4) By External angle bisector theorem|
|5) BD / DC = BE / CE||5) From (2) and (4)|
|6) BD/BE = CD/CE|| 6) By alternendo
( a/b=c/d ⇒ a/c = b/d)
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.