Bisector `A D` of `/_B A C` of ` A B C` passes through the centre `O` of the circumcircle of ` A B C` as shown in figure. Prove that `A B=A Cdot`

Bisector AD of angleBAC of triangleABC passes through the centre O of the circumcircle of triangleABC as shown in the figure Prove that AB = AC

The bisector of /_B of an isosceles triangle A B C with A B=A C meets the circumcircle of A B C at P as shown in Figure. If A P\ a n d\ B C produced meet at Q , prove that C Q=C A .

The side B C\ of a A B C is produced, such that D is one ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

The side B C\ of a A B C is produced, such that D is one ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

In Figure, prove that C D+D A+A B+B C >2A C

The side B C\ of a triangle A B C is produced, such that D is on the ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

In Figure, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

In Figure, if A B=A C\ a n d\ /_B=/_Cdot Prove that B Q=C P

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

The sides B A and D C of a quadrilateral A B C D are produced as shown in Figure. Prove that a+b=x+ydot Figure