Care or not.You are just a ill-mannered person. I didn't ask your idea but you are coming without invitation and insulting. I don't know who you are and I don't care.
BAC is a right angle. Let's draw the circumcircle of triangle ABC; BC is a diameter. Let E be the point
where CD intersects this circle; then angle BEC is also a right angle. BED is a right isosceles triangle, and EB = ED. If
we can show that EA = BE, so that E is the circumcenter of triangle
ABD, we can solve the question easily.