Finding center of 2D triangle?

Question

I\'ve been given a struct for a 2D triangle with x and y coordinates, a rotation variable, and so on. From the point created by those x and y coordinates, I am supposed to

Answer 1

There are several points in a triangle that can be considered to be its center (orthocenter, centroid, etc.). This section of the Wikipedia article on triangles has more information. Just look at the pictures to get a quick overview.