Construction in GCLC language
dim 120 120
point M_{b} 95 67.5
point H_{c} 68.91 84.83
color 220 0 0
fontsize 11
cmark_rt M_{b}
cmark_lt H_{c}
color 0 0 0
fontsize 10
% point C is given by the problem setting, but it has to belong to the circle k(M_{b},C) which is constructible from the others objects given
% NDG: points H_{c} and M_{b} are not the same
% Constructing a circle k(M_{b},C) whose center is at point M_{b} and which passes through point H_{c}
circle k(M_{b},C) M_{b} H_{c}
color 200 200 200
drawcircle k(M_{b},C)
color 0 0 0
% Generating number V[_G44358] with value 0.777113923177227
number V[_G44358] 0.777113923177227
% Calculating value V[_G44379] using formula V[_G44358]*360
expression V[_G44379] { V[_G44358]*360 }
% Constructing a point C which is an image of the point V[_G44379] in a rotation around the point M_{b} for the angle H_{c}
rotate C M_{b} V[_G44379] H_{c}
color 220 0 0
fontsize 11
cmark_b C
color 0 0 0
fontsize 10
color 200 200 200
drawarc_p M_{b} H_{c} V[_G44379]
color 0 0 0
% Constructing a point A such that CA/CM_{b}=2
towards A C M_{b} 2
cmark_t A
color 200 200 200
drawsegment C A
color 0 0 0
% DET: points H_{c} and A are not the same
% Constructing a line c which passes through point H_{c} and point A
line c H_{c} A
color 200 200 200
drawline c
color 0 0 0
% Constructing a point B such that H_{c}B/H_{c}A=0.777113923177227
towards B H_{c} A 0.777113923177227
cmark_b B
color 200 200 200
drawsegment H_{c} A
color 0 0 0
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: points H_{c} and M_{b} are not the same
% Determination conditions: points H_{c} and A are not the same