H2_Pic1

import geometry;

size(9cm, 0);
defaultpen(fontsize(10pt));
dotfactor = 6;
point K,L,M,Np, B, H,A,A1;
K=origin; L=4*dir(88); Np=3*dir(0); M=L+0.8*Np;
B=(M+Np)/2;
H=intersectionpoint(line(L,M), line(K,B));
line d=parallel(M, line(K,H));
A=intersectionpoint(line(L,B), d);
A1=intersectionpoint(line(L,K), d);

markangle(radius=0.3cm, n=2, M,Np,K);
markangle(radius=0.3cm, n=2, Np,M,H);
markangle(radius=0.3cm, n=1, K,B,Np);
markangle(radius=0.3cm, n=1, H,B,M);

draw(K--B^^B--H,white+opacity(0), StickIntervalMarker(1, 3, size=0.15cm));
draw(Np--B^^B--M, white+opacity(0), StickIntervalMarker(1, 2, size=0.15cm));
draw(A1--A^^A--M, white+opacity(0), StickIntervalMarker(1, 1, size=0.15cm));

draw(M--H^^K--H^^L--B^^A1--M);
draw(K--L--M--Np--cycle, black+1.5pt);

dot(K^^L^^M^^Np^^H^^B^^A^^A1);
label("$K$", K, S);
label("$\alpha$", L, N);
label("$5$", M, N);
label("$\alpha$", Np, S);
label("$7$", H, N);
label("$8$", B, SE);
label("$5$", A, S);
label("$15$", A1, W);