In figure, ABC is a triangle in which `/_A B C=90o`and `A D_|_B C`. Prove that `A C^2=A B^2+B C^2-2B CdotB D`.

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In figure, ABC is triangle in which angleABCgt90^@ and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

If A B C D is a quadrilateral in which A B C D and A D=B C , prove that /_A = /_B .

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

In Figure, A B C is an obtuse triangle, obtuse angled at B . If A D_|_C B , prove that A C^2=A B^2+B C^2+2\ B CxxB D .

In A B C ,\ \ /_A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

In A B C ,\ \ /_A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

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