\text{Konštrukčne určte vzdialenosť bodu }K∈ BCC' \text{ od roviny }α=(ACC')

\text{Postup

K:K∈IJ \;  \; [ I∈BB',J∈CC']

\text{Rovina }α=(A,C,C')

S,S'\text{ - stredy podstáv

\text{Kolmica }k:k \; ⟂ \;  α;  \; \; [k \; ⟂ \; AC∧k \; ⟂ \; SS']

ML:ML∥BB'; \; [K∈ML,L∈BC,M∈B'C']

NL:NL  ∥  BD \; [N∈AC]\text{ odkiaľ }NL⟂ \; AC

KO∥NL⇒KO⟂ \; α

d(K,α)=| KO | 

A = (0, 0)
B: (1, 0)
e_{1} = Line(A, B)
C = (1.3688933277158928, 0.3175737037218387)
h_{2} = Line(B, C)
g_{1} = Line(C, xAxis)
i = Line(A, h_{2})
D = Intersect(g_{1}, i)
a = Segment(A, B)
b = Segment(B, C)
c = Segment(C, D)
d = Segment(A, D)
t = OrthogonalLine(A, xAxis)
f_{3} = Circle(A, Segment[A, B])
A' = Intersect(f_{3}, yAxis, 2)
j = OrthogonalLine(B, xAxis)
k_{1} = Line(A', g_{1})
B' = Intersect(j, k_{1})
l = OrthogonalLine(C, g_{1})
d_{1} = Circle(C, D)
C' = Intersect(d_{1}, l, 2)
m = OrthogonalLine(D, g_{1})
p = Circle(D, C)
D' = Intersect(p, m, 2)
e = Segment(A', B')
g = Segment(C', D')
f = Segment(B', C')
h = Segment(A', D')
k_a = Segment(A, A')
k_b = Segment(B, B')
k_c = Segment(C, C')
k_d = Segment(D, D')
J = Point(k_c)
I = Point(k_b)
n = Segment(I, J)
K = Point(n)
q_1 = Line(A, C)