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 A is given by the problem setting, but it has to belong to the line h_{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 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_{\_G5975} with coordinates (10,30)
point P_{\_G5975} 10 30
cmark_r P_{\_G5975}
% Constructing a line L_{\_G5978} which passes through point C and point H_{a}
line L_{\_G5978} C H_{a}
color 200 200 200
drawline L_{\_G5978}
color 0 0 0
% Constructing a line L_{\_G5981} which is perpendicular to line L_{\_G5978} and which passes through point H_{a}
perp L_{\_G5981} H_{a} L_{\_G5978}
color 200 200 200
drawline L_{\_G5981}
color 0 0 0
% Constructing a line L_{\_G5984} which passes through point C and point P_{\_G5975}
line L_{\_G5984} C P_{\_G5975}
color 200 200 200
drawline L_{\_G5984}
color 0 0 0
% Constructing a point A which belongs to line L_{\_G5984} and line L_{\_G5981}
intersec A L_{\_G5984} L_{\_G5981}
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10
% Constructing a point B such that CB/CH_{a}=0.5614996006761032
towards B C H_{a} 0.5614996006761032
cmark_b B
color 200 200 200
drawsegment C H_{a}
color 0 0 0
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions:
% Determination conditions: points C and H_{a} are not the same