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

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=90dot and segment A D_|_B C . Prove that A D^2=B DxxD C .

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

In Figure, /_A B C=69^0,\ /_A C B=31^0 , find /_B D C

In Figure, /_A C B=90dot and C D_|_A B . Prove that (C B^2)/(C A^2)=(B D)/(A D)

In Fig. 4.145, if A B_|_B C , D C_|_B C and D E_|_A C , prove that C E D ∼ A B C . (FIGURE)

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In Figure, if B D_|_A C and C E_|_A B , prove that (i) /_\A E C ~ /_\A D B (ii) (C A)/(A B)=(C E)/(D B)