In figure D is a point on side BC of a `DeltaA B C`such that `(B D)/(C D)=(A B)/(A C)`. Prove that AD is the bisector of `/_B A C`.

D is a point on side BC of DeltaA B C such that A D\ =\ A C (see Fig. 7.47).Show that A B\ >\ A D .

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D *D B , sin A * sin B=sin^2(C/2) then prove that CD is internal bisector of /_C

D is a point on the side B C of A B C such that /_A D C=/_B A C . Prove that (C A)/(C D)=(C B)/(C A) or, C A^2=C BxxC D .

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

D and E are points on sides AB and AC respectively of DeltaA B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E\ ||\ B C .

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D * D B , sin sin A * Sin B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

In Figure, A B=A C ,\ D is the point in the interior of A B C such that " "/_D B C=" "/_D C Bdot Prove that A D bisects B A C\ of A B Cdot