" In "/_ABC,/_B=2/_C" and the bisector of BD bisects "/_B," in "AC" at "D." Prove that "(BD)/(DA)=(BC)/(BA)

AD is the bisector of /_BAC of /_\ABC , where D is a point on BC. Prove that (BD)/(DC)=(AB)/(AC) .

In an isosceles right-angled triangle ABC, /_B=90^(@) . The bisector of /_BAC intersects the side BC at the point D. Prove that CD^(2) =2BD^(2)

The bisector of interior /_A of hat varphi ABC meets BC in D, and the bisector of exterior /_A meets BC produced in E. Prove that (BD)/(BE)=(CD)/(CE)

The internal bisector of angle A of Delta ABC meets BC at D and the external bisector of angle A meets BC produced at E. Prove that (BD)/(BE) = (CD)/(CE) .

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

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

In ABC, ray AD bisects /_A and intersects BC in D. If BC=a,AC=b and AB=c prove that BD=(ac)/(b+c)( ii) (ab)/(b+c)

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

In Delta ABC , /_ B = /_C , D and E are the points on AB and AC such that BD = CE , prove that DE || BC .

In Delta ABC , ray BD bisects angleABC . A-D-C, side DE abs() side BC, A-E-B, then prove that (AB)/(BC) = (AE)/(EB) .