False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
It has 3 sides.every tryangle has three sides and three verticies no matter what kind it is
3
Circumcentre.
4
No. Not if they are collinear (on the same straight line).
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
It has 3 sides.every tryangle has three sides and three verticies no matter what kind it is
a triangle has 3 sides, verticies
3
No, the midpoints of the triangle's sides would be in the same locations as the feet of the altitudes, while the Euler points (midway between the orthocenter and the reference triangle's verticies) would be distinct from them. As a result, the nine points would become only 6 distinct points.
3 of each
Circumcentre.
4
First, I'm assuming the by corners, you mean verticies. Second, the answer depends on what you mean by "three dimensional triangle. To some, this could be interpreted as a pyramid. However, I think it is more likely that you are referring to a triangular prism- a prism shape with a triangle as each base. In this case, there are six "corners". Each side has three, where the length-wise edges of the prism intersect the verticies of the triangle. There are three corners on each side, for a total of six. If you really meant a pyramid, then there are five corners.
Vertices
Any two vertices of a triangle are connected by a side.