In convex quadrilateral A B C D, \angle A D C=90^{\circ}+\angle B A C. Given that A B=B C=17, and C D=16, what is the maximum possible area of the quadrilateral?
In convex quadrilateral A B C D, \angle A D C=90^{\circ}+\angle B A C. Given that A B=B C=17, and C D=16, what is the maximum possible area of the quadrilateral?