frame(-0.5,-4,7.5,5,2)
A B C triangle(7,60:,40:)
thickness(0.7)
color(red);draw(A,B,C);color(black)
thickness(0.5)
%draw("A",A,180:);draw("B",B,0:);draw("C",C,90:)
ab=segment(A,B)
bc=segment(B,C)
ca=segment(C,A)
W=circle(A,B,C);draw(W)
O=center(W);
w=incircle(A,B,C);draw(w);
i=center(w);
mbc=midpoint(bc);
mca=midpoint(ca);
mab=midpoint(ab);
%color(gray);
Fe=circle(mab,mbc,mca);draw(Fe);color(black)
N=center(Fe);
H=orthocenter(A,B,C);
G=barycenter(A,B,C);
hA=altitude(A,C,B);
hB=altitude(B,C,A)
hC=altitude(C,A,B)
hbc=intersection(hA,line(B,C));
hca=intersection(hB,line(C,A));
hab=intersection(hC,line(A,B));
color(gray);
draw(segment(O,H));
color(black)
color(lightgray)
draw(bisector(ab));draw(bisector(bc));draw(bisector(ca))
draw(hA);draw(hB);draw(hC)
draw(bisector(A,B,C));draw(bisector(B,C,A));draw(bisector(C,A,B))
draw(segment(A,mbc));draw(segment(B,mca));draw(segment(C,mab))
color(blue)
draw(i);draw(N);
draw(hbc);draw(hca);draw(hab);
draw(O);draw(H);draw(G);
draw(mab);draw(mbc);draw(mca)