Construction in GCLC language
dim 120 120
point M_{b} 95 67.5
point H_{b} 89.36 77.83
color 220 0 0
fontsize 11
cmark_rt M_{b}
cmark_rt H_{b}
color 0 0 0
fontsize 10
% point A is given by the problem setting, but it has to belong to the line b which is constructible from the others objects given
% DET: points M_{b} and H_{b} are not the same
% Constructing a line b which passes through point M_{b} and point H_{b}
line b M_{b} H_{b}
color 200 200 200
drawline b
color 0 0 0
% Constructing a point A such that M_{b}A/M_{b}H_{b}=0.5676921379460423
towards A M_{b} H_{b} 0.5676921379460423
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10
color 200 200 200
drawsegment M_{b} H_{b}
color 0 0 0
% Constructing a point C such that AC/AM_{b}=2
towards C A M_{b} 2
cmark_b C
color 200 200 200
drawsegment A C
color 0 0 0
% Constructing a line h_{b} which is perpendicular to line b and which passes through point H_{b}
perp h_{b} H_{b} b
color 200 200 200
drawline h_{b}
color 0 0 0
% Constructing a point P_{\_G6077} with coordinates (10,30)
point P_{\_G6077} 10 30
cmark_r P_{\_G6077}
% Constructing a line L_{\_G6080} which passes through point A and point H_{b}
line L_{\_G6080} A H_{b}
color 200 200 200
drawline L_{\_G6080}
color 0 0 0
% Constructing a line L_{\_G6083} which is perpendicular to line L_{\_G6080} and which passes through point H_{b}
perp L_{\_G6083} H_{b} L_{\_G6080}
color 200 200 200
drawline L_{\_G6083}
color 0 0 0
% Constructing a line L_{\_G6086} which passes through point A and point P_{\_G6077}
line L_{\_G6086} A P_{\_G6077}
color 200 200 200
drawline L_{\_G6086}
color 0 0 0
% Constructing a point B which belongs to line L_{\_G6086} and line L_{\_G6083}
intersec B L_{\_G6086} L_{\_G6083}
cmark_b B
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions:
% Determination conditions: points M_{b} and H_{b} are not the same