In the adjoining figure BO and CO are the bisectors of `angleCBD` and `angleBCE` respectively. If `AC gt AB`, prove that `OB gt OC`.

In the given figure, ABgtAC. If BO and CO are the bisectors of angleB and angleC respectively then

In the adjoining figure, BX and CY are the bisectors of angle ABC and angle ACB respectively. If AB=AC and BY=4 cm, then find the lengths of AX.

In fig. BO and CO are the bisectors of angleB and angleC respectively and AC > AB. Prove each of the following : OC>OB .

In the adjoining figure, ABCD is a parallelogram , AO and BO are the bisectors of angleA and angleB respectively. Prove that angleAOB=90^@ .

In the adjoining figure, AB gt AC and the angle bisectors of angleB and angleC meet at point P. Prove that PB gt PC .

In the adjoining figure, AB gt AC and the angle bisectors of angleB and angleC meet at point P. Prove that PB gt PC .

In the adjoining figure, BM and DN are the perpendiculars from B and D respectively to AC such that BM = DN. Prove that BO = OD.

In the adjoining figure, BM and DN are the perpendiculars from B and D respectively to AC such that BM = DN. Prove that BO = OD.

In the adjoining figure,if AD is the bisector of /_A, what is AC?

In the adjoining figure, x gt y , Prove that AB gt AC