In fig., D is a point on hypotenuse AC of `DeltaA B C ,""""D M""_|_""B C` and `D N""_|_""A B` . Prove that (i) `D M^2=D N*M C` (ii) `D N^2=D M*A N`

In Figure, A B C is a right triangle right angled at B and D is the foot of the the perpendicular drawn from B on A C . If D M_|_B C and D N_|_A B , prove that: (i) D M^2=D NxxM C (ii) D N^2=D MxxA N

A B C D is a rectangle. Points M and N are on B D such that A M_|_B D and C N_|_B D . Prove that B M^2+B N^2=D M^2+D N^2 .

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 Figure A B D C\ a n d\ A D B Cdot Prove that /_D A B=\ /_D C B

In Figure, A D=B C\ a n d\ B D=C A . Prove that ∠A D B= ∠B C A a n d ∠D A B=∠ C B A .

In Figure, A B C D is a rectangle. B M\ a n d\ D N are perpendicular from B\ a n d\ D respectively on A C . Prove that M B C~= D N A (ii) B M=D N

In Figure, B M a n d D N are both perpendiculars to the segments A C a n d B M=D N . Prove that A C bisects B D

In Figure, B M\ a n d\ D N are both perpendiculars to the segments A C\ a n d\ B M=D N . Prove that A C\ bisects B D .

In Figure, B M and D N are both perpendiculars to the segments A C and B M=D N . Prove that A C bisects B Ddot Figure

In right triangle A B C , right angle at C ,\ M is the mid-point of the hypotenuse A Bdot C is jointed to M and produced to a point D such that D M=C Mdot Point D is joined to point Bdot Show that A M C~= B M D (ii) /_D B C=/_A C B D B C~= A C B (iii) C M=1/2A B