Zostrojte trojuholník ak je dané: strana a, ťažnica t_c, uhol α =∢CAB. 

Logický rozbor - analýza

Rozbor

Konštrukcia

a

2. Bod A ∈ k(S, r = SA), z ktorej vidieť t_c pod uhlom α

3. Bod B ∈ k´ ∩ m, (k´ súmerná cez C_1) a m(C, polomer = a)

roz = false
kon = false
A = (-1.4615378250000004, -0.5084380069999999)
B = (8.538462174999996, -0.5084380069999999)
C = (6.538462174999999, 5.4915619929999995)
t1, c, a, b = Polygon(A, B, C)
C_1 = Midpoint(A, B)
t_c = Segment(C, C_1)
g = Segment(C, B)
α = Angle(C, A, B)
text3: "1. Vyznačme dané prvky: a = " + a + ", t_c = " + t_c + ", α = " + α + ""
f = Ray(C, C_1)
F = Midpoint(C_1, C)
C' = Rotate(C, (-α), C_1)
β = Angle(C', C_1, C)
h = Line(C_1, C')
i = OrthogonalLine(C_1, h)
j = OrthogonalLine(F, f)
S = Intersect(i, j)
k = Circle(S, A)
k' = Mirror(k, C_1)
p = Circle(C, a)