2a

2c

2b

a

c

b

Sarnased kolmnurgad

Sarnaste kolmnurkade puhul kehtib seos:

\frac{AB}{A_1B_1}=\frac{BC}{B_1C_1}=\frac{AC}{A_1C_1}

A_1

B_1

C_1

a

c

b

A = (1, 1)
a = 4.5 (slider from 0 to 5)
B = Translate(A, ((2 * a), 0))
f = Segment(A, B)
α = 1.2915436464758039 rad (slider from 1° to 179°, step 0.017453292519943295)
A' = Rotate(A, α, B)
C = Rotate(B, α, A)
β = Angle(B, A, C)
g = Segment(C, A)
h = Segment(C, B)
A_1 = (13, 8)
B_1 = Translate(A_1, (a, 0))
C_1 = Rotate(B_1, α, A_1)
γ = Angle(B_1, A_1, C_1)
i = Segment(A_1, B_1)
j = Segment(A_1, C_1)
k = Segment(C_1, B_1)
t1, c, a_1, b = Polygon(A, B, C)
t2, c_1, l, b_1 = Polygon(A_1, B_1, C_1)
δ = 0 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
D = Rotate(A_1, δ, A_1)
E = Rotate(B_1, δ, A_1)
F = Rotate(C_1, δ, A_1)
t2', f_1, d, e = Polygon(D, E, F)
ε = Angle(E, D, F)
tekst4: "\frac{" + (LaTeX[c]) + "}{" + (LaTeX[c_1]) + "}=\frac{" + (LaTeX[a_1]) + "}{" + (LaTeX[d]) + "}=\frac{" + (LaTeX[b]) + "}{" + (LaTeX[e]) + "}"
Punktt1 = PointIn(t1)
Punktt2' = PointIn(t2')