Can three lines intersect each other and form more than one triangle?

3 lines can tersect  at most 3C2  = 3 points only. So 3 points
of intersection  form one triangle.

If the 3 lines are parallel,
then  there is no tersection of lines.Therefore , no triangle is
formed.

If any ewo lines are parallel, and the 3rd is not parallel,
then there one non parallel line intersect the other two parallel line at 2 points. No triangle
is formed in this case.

All 3 lines can pass through one single
point. We say then the  3 lines are concurrent at one point. So there one limitting point
triangle of zero dimension and zero area.

So the in the first case
only the 3 points of intersection  forma triangle. In no case there can be more than one
triangle.