Construction in GCLC language

dim 120 120

point H_{c} 68.91 84.83
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

cmark_lt H_{c}
cmark_lt T_{c}
color 0 0 0
fontsize 10


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

color 200 200 200
drawline c
color 0 0 0




% Constructing a point B such that H_{c}B/H_{c}T_{c}=0.7031238366536806
towards B H_{c} T_{c} 0.7031238366536806 
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10

color 200 200 200
drawsegment H_{c} T_{c} 
color 0 0 0



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

color 200 200 200
drawline h_{c}
color 0 0 0




% Constructing a point A such that BA/BH_{c}=0.7031238366536806
towards A B H_{c} 0.7031238366536806 
cmark_t A
color 200 200 200
drawsegment B H_{c} 
color 0 0 0



% Constructing a point P_{\_G27427} with coordinates (10,30)
point P_{\_G27427} 10 30 
cmark_r P_{\_G27427}

% Constructing a line L_{\_G27430} which passes through point A and point H_{c}
line L_{\_G27430} A H_{c} 

color 200 200 200
drawline L_{\_G27430}
color 0 0 0


% Constructing a line L_{\_G27433} which is perpendicular to line L_{\_G27430} and which passes through point H_{c}
perp L_{\_G27433} H_{c} L_{\_G27430} 

color 200 200 200
drawline L_{\_G27433}
color 0 0 0


% Constructing a line L_{\_G27436} which passes through point A and point P_{\_G27427}
line L_{\_G27436} A P_{\_G27427} 

color 200 200 200
drawline L_{\_G27436}
color 0 0 0


% Constructing a point C which belongs to line L_{\_G27436} and line L_{\_G27433}
intersec C L_{\_G27436} L_{\_G27433} 
cmark_b C



drawsegment A B
drawsegment A C
drawsegment B C

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