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 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 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 point B such that M_{a}B/M_{a}H_{a}=0.40403114912218935
towards B M_{a} H_{a} 0.40403114912218935 
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10

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



% 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_{\_G17426} with coordinates (10,30)
point P_{\_G17426} 10 30 
cmark_r P_{\_G17426}

% Constructing a line L_{\_G17429} which passes through point B and point H_{a}
line L_{\_G17429} B H_{a} 

color 200 200 200
drawline L_{\_G17429}
color 0 0 0


% Constructing a line L_{\_G17432} which is perpendicular to line L_{\_G17429} and which passes through point H_{a}
perp L_{\_G17432} H_{a} L_{\_G17429} 

color 200 200 200
drawline L_{\_G17432}
color 0 0 0


% Constructing a line L_{\_G17435} which passes through point B and point P_{\_G17426}
line L_{\_G17435} B P_{\_G17426} 

color 200 200 200
drawline L_{\_G17435}
color 0 0 0


% Constructing a point A which belongs to line L_{\_G17435} and line L_{\_G17432}
intersec A L_{\_G17435} L_{\_G17432} 
cmark_t A



drawsegment A B
drawsegment A C
drawsegment B C

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