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`

In an isosceles triangle A B C with A B=A C and B D_|_A Cdot Prove that B D^2-C D^2=2C DdotA Ddot

In Fig. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E 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, it is given that A B=C D\ a n d\ A D=B C. Prove that A D C\ ~= C B A .

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

In figure /_A C B=90^@ and C D_|_A B . Prove that (B C^2)/(A C^2)=(B D)/(A D) .

In Figure, given that /_A O C=/_A C O\ a n d\ /_B O D=/_B D O . Prove that A C||D B

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D

In a triangle A B C ,\ A C > A B , D is the mid-point of B C and A E_|_B C . Prove that: (i) A B^2=A D^2-B C* D E+1/4B C^2