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Equilateral.
The orthocentre (where the perpendicular bisectors of the sides meet).
they are all points of concurrency
well yes, obviously. A triangle constitutes of three points, and you can always find a plane that traverses those three points.
I think the question you mean to ask is, "Do three collinear points make a triangle?" Linear is simply the adjective form of "line", "collinear" is used to describe points that lie on the same line. (Two points not only can be collinear, but always are, so it makes little sense to describe them as such).Collinear points cannot make a triangle, a triangle requires three noncollinear points.