` A B C` and   ` D B C` are   two isosceles triangles on the same base `B C` and   vertices `A` and   `D` are   on the same side of `B D` .   If `A D` is   extended to intersect `B C` at   `P ,` show   that  `A B D~=A C D`  (ii) `A B P~=A C P`  `A P` bisects `/_A` as well as `/_D`  `A P` is   perpendicular bisector of `B Cdot`
{}