In Figure, if `A D` is the bisector of `L A` , show that: `A B > B D` (ii) `A C > C D`

In Figure, A C > A B and A D is the bisector of /_ A . Show that A D C >/_A D B .

In triangle A B C , if A D is the bisector of /_A , prove that: (A r e a( A B D))/(A r e a( A C D))=(A B)/(A C)

In Figure, /_B A C=90^0,A D is its bisector. If D E_|_A c , prove that DE ×(A B+A C)=A B×A C

A B C\ a n d\ D B C are two isosceles triangles on the same bas B C and vertices A\ a n d\ D are on the same side of B C . If A D is extended to intersect B C at P , show that A B D\ ~= A C D (ii) A B P\ ~= A C P

A B C\ a n d\ D B C are two isosceles triangles on the same bas B C and vertices A\ a n d\ D are on the same side of B C . If A D is extended to intersect B C at P , show that A B D\ ~= A C D (ii) A B P\ ~= A C P

In Fig. 4.42, A D is the bisector of /_B A C . If A B=10 c m . A C=14 c m and B C=6c m , find B D and D C . (FIGURE)

In figure, A B > A C . Show that A B > A D .

In Figure, A B > A C . Show that A B > A D .

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D

In Fig. 4.41, A D is the bisector of /_A . If B D=4c m , D C=3c m and A B=6c m , determine A C . (FIGURE)