Construction in GCLC language
dim 120 120
point M_{b} 95 67.5
point G 70 58.33
color 220 0 0
fontsize 11
cmark_rt M_{b}
cmark_t G
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 M_{b}B/M_{b}G=3
towards B M_{b} G 3
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10
color 200 200 200
drawsegment M_{b} B
color 0 0 0
% Constructing a free point A
point A 80 95
cmark_t A
% 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
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions:
% Determination conditions: