Let \overline{A B} be a diameter in a circle of radius 5 \sqrt{2}. Let \overline{C D} be a chord in the circle that intersects \overline{A B} at a point E such that B E=2 \sqrt{5} and \angle A E C=45^{\circ}. What is C E^{2}+D E^{2} ?
Answer Choices
A. 96
B. 98
C. 44 \sqrt{5}
D. 70 \sqrt{2}
E. 100