Construction in GCLC language

dim 120 120

point C 110 40
point M_{a} 65 40

color 220 0 0
fontsize 11

cmark_b C
cmark_b M_{a}
color 0 0 0
fontsize 10


% point B is given by the problem setting, but it has to be constructible this way, otherwise the problem has no solution

% Constructing a point B such that CB/CM_{a}=2
towards B C M_{a} 2 
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10

color 200 200 200
drawsegment C B 
color 0 0 0



% Constructing a free point A
point A 80 95

cmark_t A



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions: 
% Determination conditions: