In Figure, `A D` is a median and `B L ,\ C M` are perpendiculars drawn from `B\ a n d\ C` respectively on `A D\ a n d\ A D` produced. Prove that `B L=C M`

In Figure, A D is a median and B L ,C M are perpendiculars drawn from B and C respectively on A D and A D produced. Prove that B L=C Mdot Figure

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 a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C respectively on any line passing through A . If L is the mid-point of B C , prove that M L=N L . .

In a A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C respectively on any line passing through Adot If L is the mid-point of B C , prove that M L=N L .

In a /_\ A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C respectively on any line passing through A . If L is the mid-point of B C , prove that M L=N L .

In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Prove that C F=1/4A C .

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

In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Prove that C F=1/4A C

B D is one of the diagonals of a quadrilateral A B C D . A M and C N are the perpendiculars from A\ a n d\ C , respectively, on B D . Show that ar (quad. A B C D )= 1/2B D (A M+C N)

In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D C\ ~= C B A .