In a `Delta ABC,` the bisectors of ext `/_B` and ext `/_C` meet at D. If `BD > CD,` then prove that `AC > AB.`

In Delta ABC,AB=AC and the bisectors of /_B and /_C meet at a point O. Prove that BO=CO and the ray AO is the bisector of /_A.

AD is a median of Delta ABC. The bisector of /_ADB and /_ADC meet AB and AC in E and F respectively.Prove that EF |BC

In a quadrilateral ABCD ,if bisectors of the /_ABC and /_ADC meet on the diagonal AC prove that the bisectors of /_BAD and /_BCD will meet on the diagonal BD.

In Delta ABC , AD_|_ BC which intersects BC at D. If BD =3 CD , then prove that 2AB^(2) = 2AC^(2)+BC^(2)

BD and CE are bisectors of /_B and /_C of an isosceles hat harr ABC with AB=AC. Prove that BD=CE .

BD and CE are bisectors of /_B and /_C of an isosceles ABC with AB=AC. Prove that BD=CE

The sides AB and AC of a triangle ABC are produced, and the bisectors of the external angles at B and C meet at P. Prove that if AB gt AC , then PC gt PB .

In a triangle ABC, the bisector of angle A meets the opposite side at D.Using vectors prove that BD:DC=c:b.