Both triangles are isoceles right triangles. Since the
hypotenuse of a 45-45-90 triangle with legs of length x is
x square root 2, BE is equal to 4/root 2, and CB is 8/root 2.
Adding these together would give you CE:
12/square toot 2 = 12 square root2/2, or 6 square root2, which is
B.