Homework№1(pic.2)

import geometry;
size(9cm, 0);
defaultpen(fontsize(10pt));
dotfactor = 4;

point A,B,C, A1, B1, C1;

C=(0,0); B= 4*dir(70); A= 4*dir(0);
A1=point(C--B, 1/3);
B1=point(A--C, 1/3);
C1=point(B--A, 1/3);


fill(C1--B1--A1--cycle, gray+0.25white);

draw(A--B--C--cycle);

draw(A1--B1--C1--cycle);

dot(A);  label("$A$", A, S);
dot(B);  label("$B$", B, N);
dot(C);  label("$C$", C, S);
dot(A1); label("$A_1$", A1, WNW);
dot(B1); label("$B_1$", B1, S);
dot(C1); label("$C_1$", C1, NE);