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We will be happy to post videos as per your requirements also. Do write to us.Interior Angle Bisector Theorem : The angle bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.
|1) CE || DA||1) By construction|
|2) ∠2 = ∠3||2) Alternate interior angles|
|3) ∠1 = ∠4||3) Corresponding angles|
|4) AD is the bisector||4) Given|
|5) ∠1 =∠2||5) Definition of angle bisector|
|6) ∠3= ∠4||6) From (2) and (3)|
|7) AE = AC||7) In ΔACE, side opposite to equal angles are equal|
|8) BD / DC = BA / AE||8) In ΔBCE DA || CE and by BPT theorem|
|9) BD / DC = AB / AC||9) From (7)|
|1) DE is the angle bisector of ∠ADB||1) Given|
|2) ∴ AD / DB = AE / EB||2) By interior angle bisector theorem|
|3) DF is the angle bisector of ∠ADC||3) Given|
|4) AD / DC = AF / FC||4) By angle bisector theorem|
|5) AD is the median||5) Given|
|6) BD = DC||6) By definition of median|
|7) AD / DB = AF / FC||7) From (6)|
|8) AE / EB = AF / FC||8) From (2) and (7)|
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.