Construction in GCLC language

dim 120 120

point C 110 40
point H_{a} 80 40

color 220 0 0
fontsize 11

cmark_b C
cmark_b H_{a}
color 0 0 0
fontsize 10


% point B is given by the problem setting, but it has to belong to the line a which is constructible from the others objects given 
% DET:  points C and H_{a} are not the same
% Constructing a line a which passes through point C and point H_{a}
line a C H_{a} 

color 200 200 200
drawline a
color 0 0 0




% Constructing a point B such that CB/CH_{a}=0.7875734259283986
towards B C H_{a} 0.7875734259283986 
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10

color 200 200 200
drawsegment C H_{a} 
color 0 0 0



% Constructing a line h_{a} which is perpendicular to line a and which passes through point H_{a}
perp h_{a} H_{a} a 

color 200 200 200
drawline h_{a}
color 0 0 0




% Constructing a point P_{\_G16889} with coordinates (10,30)
point P_{\_G16889} 10 30 
cmark_r P_{\_G16889}

% Constructing a line L_{\_G16892} which passes through point B and point H_{a}
line L_{\_G16892} B H_{a} 

color 200 200 200
drawline L_{\_G16892}
color 0 0 0


% Constructing a line L_{\_G16895} which is perpendicular to line L_{\_G16892} and which passes through point H_{a}
perp L_{\_G16895} H_{a} L_{\_G16892} 

color 200 200 200
drawline L_{\_G16895}
color 0 0 0


% Constructing a line L_{\_G16898} which passes through point B and point P_{\_G16889}
line L_{\_G16898} B P_{\_G16889} 

color 200 200 200
drawline L_{\_G16898}
color 0 0 0


% Constructing a point A which belongs to line L_{\_G16898} and line L_{\_G16895}
intersec A L_{\_G16898} L_{\_G16895} 
cmark_t A



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions: 
% Determination conditions:  points C and H_{a} are not the same