I think the question speaks for itself. I came across this term in one exercise, but am not sure what it is.
The definition my textbook gives is a triangle where the three vertices are free. I am not sure what vertices being free mean either so am confused.
Thank you in advance.
A generic triangle is a triangle is a triangle which can be considered as a placeholder for any triangle at all. If you are using algebra, this usually means assuming unknown variables for corner coordinates or whatever you use to describe it. When doing a construction, you should start with a triangle with no special properties (i.e. no equal angles, no equal edge lengths, and so on) but also ensure that a triangle with such special properties could be used the same way.