% this define the vertexes (x,y) of first triangle
trian1x =[ 0 0.5 1 0];
trian1y =[ 0 1 0 0];
% this define the vertexes (x,y) of second triangle
trian2x =[ 0 0.25 0.5 0];
trian2y =[ 0 0.5 0 0];
% (xi,yi) are the intersection points
[xi,yi] = polyxpoly(trian1x,trian1y,trian2x,trian2y,'unique');
figure,
plot(trian1x,trian1y,'b')
hold on
plot(trian2x,trian2y,'r')
hold on
plot(xi,yi,'*g')
