Construct ∡60 without protractor

What is relationship AB and BC
what is the relationship AB and BC
All sides are congruent
So it is an equilateral triangle
Hence each ∡ is 60

A = (-7.41374284272514, 0.7276640802727077)
D = (5.123530802795497, 0.6801744073730084)
AD = Segment(A, D)
c = Circle(A, 6)
C_1 = Point(c)
D_1 = Point(c)
d = CircleArc(A, C_1, D_1)
B = Intersect(d, AD, 1)
e = Circle(B, 6)
F = Point(e)
G = Point(e)
g = CircleArc(B, F, G)
C = Intersect(d, g, 1)
AC = Segment(C, A)
α = Angle(B, A, C)
BC = Segment(C, B)
AB = Segment(A, B)

Tool: SquareTool
Tool2[ <Number>, <Point> ]
Input: side, A
Output: poly1

B = Point(Circle[A, side])
a = Segment(A, B)
c = Circle(A, side)
b = OrthogonalLine(A, a)
C = Intersect(c, b, 2)
d = Circle(C, side)
e = OrthogonalLine(C, b)
D = Intersect(d, e, 1)
poly1, a_1, b_1, d_1, c_1 = Polygon(A, B, D, C)