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- import geometry;
- import patterns;
- import markers ;
- //import graph;
- //import three;
- defaultpen(fontsize(11pt));
- dotfactor=5;
- //labelmargin=0.25;
- size(9cm,0);
- point A,B,C,E1,L,O,K;
- A=(0,0); C = 5*dir(0); B=3.5*dir(74);
- line AB=line(A,B); line AC = line(A,C);
- line BC=line(B,C);
- line l1 = bisector(AB,AC);
- line l2 = bisector(AB,BC);
- E1 = intersectionpoint(l1,BC);
- L = intersectionpoint(l2,AC);
- O = intersectionpoint(l1,l2);
- K = projection(A,L)*B;
- draw(A--C--B--cycle,black+1bp); draw(A--E1);
- draw(B--L); draw(B--K);
- draw(A--L, white+opacity(0), StickIntervalMarker(2, 1, size=0.15cm));
- dot(A,black+4bp); dot(A,white+3bp);
- dot(B,black+4bp); dot(B,white+3bp);
- dot(C,black+4bp); dot(C,white+3bp);
- dot(E1,black+4bp); dot(E1,white+3bp);
- dot(L,black+4bp); dot(L,white+3bp);
- dot(O,black+4bp); dot(O,white+3bp);
- dot(K,black+4bp); dot(K,white+3bp);
- markangle(1,radius=0.5cm,C,A,E1);
- markangle(1,radius=0.6cm,E1,A,B);
- markangle(2,radius=0.6cm,A,B,L);
- markangle(2,radius=0.4cm,L,B,C);
- markrightangle(size=0.25cm, B,K,A);
- label("$A$",A,SW); label("$C$",C,SE); label("$B$",B,N);
- label("$E$",E1,NE); label("$L$",L,S); label("$O$",O,1.1W);
- label("$K$",K,NE);
- label("$3a$",A--L,S); label("$b$",L--C,S);
- label("$6a$",A--B,W); label("$4a$",B--O,E); label("$2a$",O--L,E);
- label("$2b$",E1--C,2E);
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