Construction of triangle with 1 side and two angles.ggb
1. with following measures  - BC =  12 cms, ∡B = 60, ∡C = 60
a. What kind of triangle is it - by sides?
b. What kind of triangle is it - by angles?
2. Can this triangle be an obtuse angled triangle?
3. Can this triangle be a scalene triangle?

a = 12 (slider from 0 to 12, step 1)
α = 1.0471975511965976 rad (slider from 0 to 180°)
B = (2.98, -0.64)
C = Point(Circle[B, a])
BC = Segment(B, C)
A = Rotate(C, α, B)
β = Angle(C, B, A)
RayBA = Ray(B, A)
γ = 1.0471975511965976 rad (slider from 0 to 180°)
C'' = Rotate(A, γ, C)
B' = Rotate(B, (-(60°)), C)
δ = Angle(B', C, B)
RayCA = Ray(C, B')
ε = Angle(B, A, C)