Moderator Note: At the time that this question was posted, it was from an ongoing contest. The relevant deadline has now passed.
I am preparing for competition math and so I found this problem I was wondering if someone could post a solution to it because I can't solve it. This is from a book in the Art of Problem Solving series I am sure some of you have heard of it.
We let ABC be a triangle with sides: AB=4024, AC=4024 and BC=2012 . We reflect the line AC over line AB to meet the circumcircle of triangle ABC at point D (D $\ne$ A). How do we find the length of segment CD?