CE = 2,9 cm 

AE =2,75 cm

A = (-2, 0)
B = Point(Circle[A, 8])
a = Segment(A, B)
b = 4
c = Circle(A, b)
d = 6
e = Circle(B, d)
C, D = Intersect(c, e)
f = Segment(A, C)
g = Segment(C, B)
h = OrthogonalLine(C, a)
E = Intersect(a, h)
i = Distance(C, E)
j = Distance(A, E)
k: i² + j²