`A B C` and `A D C` are two right triangles with common hypotenuse `A Cdot` Prove that `/_C A D=/_C B Ddot`

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

In a rectangle A B C D , prove that A C B~= C A Ddot

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

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

A B and C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C Ddot

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

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

In Fig.11, it is given that A B=C D\ a n d\ A D=B Cdot Prove that A D C~= C B Adot