In ` A B C` , if `A D_|_B C` and `A D^2=B DxxD C` , prove that `/_B A C=90o` .

In /_\ A B C , if A D_|_B C and A D^2=B DxxD C , prove that /_B A C=90dot .

In A B C , if B D_|_A C and B C^2=2\ A C C D , then prove that A B=A C .

In a triangle A B C ,\ \ A D_|_B C and A D^2=B DxxC Ddot Prove that A B C is a right triangle.

In a quadrilateral A B C D , /_B=90^o , A D^2=A B^2+B C^2+C D^2 , prove that /_A C D=90^o

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

In a quadrilateral A B C D ,\ \ /_B=90o . If A D^2=A B^2+B C^2+C D^2 then prove that /_A C D=90o .

A B C is a triangle in which /_B=2/_C. D is a point on B C such that A D bisects /_B A C\ a n d\ A B=C D . Prove that /_B A C=72^@ .

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

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

In /_\ A B C , given that A B=A C and B D_|_A C . Prove that B C^2=2\ A C * C D