In `DeltaABC`,ray BD bisects `angleABC` and ray CE bisects `angleACB`. If seg AB `cong`seg AC, then prove that ED `abs()` 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) .

In the figure, seg AB~= seg AC , ray CE bisects /_ACB , ray BD bisects /_ABC . Prove that ray ED|| side BC .

In the given figure, DeltaABC is an isosceles triangle in which AB=AC and AE bisects angleCAD . Prove that AE||BC .

In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC and AB at point D and E respectively. Prove that BD = CE .

Ray BD is the angle bisector of angleABC. The perimeter of DeltaABC is

D,E and F are the points on sides BC, CA and AB respectively, of triangleABC such that AD bisects angleA , BE bisects angleB and CF bisects angleC . If AB=5 cm, BC= 8cm and CA= 4 cm. find AF, CE and BD.

If ABC is isosceles with AB=AC and C(O,r) is the incircle of the ABC touching BC at L, prove that L bisects BC .

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 ABC with AB=AC. Prove that BD=CE