Construction in GCLC language
dim 120 120
point C 110 40
point M_{b} 95 67.5
color 220 0 0
fontsize 11
cmark_b C
cmark_rt M_{b}
color 0 0 0
fontsize 10
% point A is given by the problem setting, but it has to be constructible this way, otherwise the problem has no solution
% Constructing a point A such that CA/CM_{b}=2
towards A C M_{b} 2
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10
color 200 200 200
drawsegment C A
color 0 0 0
% Constructing a free point B
point B 20 40
cmark_b B
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions:
% Determination conditions: