Construction in GCLC language
dim 120 120
point M_{a} 65 40
point H_{a} 80 40
color 220 0 0
fontsize 11
cmark_b M_{a}
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 M_{a} and H_{a} are not the same
% Constructing a line a which passes through point M_{a} and point H_{a}
line a M_{a} 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_{\_G14192} with coordinates (10,30)
point P_{\_G14192} 10 30
cmark_r P_{\_G14192}
% Constructing a line L_{\_G14195} which passes through point M_{a} and point H_{a}
line L_{\_G14195} M_{a} H_{a}
color 200 200 200
drawline L_{\_G14195}
color 0 0 0
% Constructing a line L_{\_G14198} which is perpendicular to line L_{\_G14195} and which passes through point H_{a}
perp L_{\_G14198} H_{a} L_{\_G14195}
color 200 200 200
drawline L_{\_G14198}
color 0 0 0
% Constructing a line L_{\_G14201} which passes through point M_{a} and point P_{\_G14192}
line L_{\_G14201} M_{a} P_{\_G14192}
color 200 200 200
drawline L_{\_G14201}
color 0 0 0
% Constructing a point A which belongs to line L_{\_G14201} and line L_{\_G14198}
intersec A L_{\_G14201} L_{\_G14198}
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10
% Constructing a point B such that M_{a}B/M_{a}H_{a}=0.47797878631233287
towards B M_{a} H_{a} 0.47797878631233287
cmark_b B
color 200 200 200
drawsegment M_{a} H_{a}
color 0 0 0
% Constructing a point C such that BC/BM_{a}=2
towards C B M_{a} 2
cmark_b C
color 200 200 200
drawsegment B C
color 0 0 0
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions:
% Determination conditions: points M_{a} and H_{a} are not the same