Yes
Yes
Find the median of each side of the triangle. The centroid is where all three lines meet.
The centroid is the centre. How you find it depends on what information you have about the hypersphere.
The coordinates of the centroid relate to the average of coordinates of the triangle's vertices. Free online calculation tool - mathopenref.com/coordcentroid.html
yes the centroid of the rectangle coincide with the intersection of the diagonals with the center of mass
It is the point where the diagonals cross.
Yes
Yes
Only if the lamina is the same shape as the rectangle!
# First find the circumcenter & centroid. # subtract centroid from circumcenter.
Find the median of each side of the triangle. The centroid is where all three lines meet.
The centroid is the centre. How you find it depends on what information you have about the hypersphere.
how the hell do you even find the centroid of a triangle to begin with, that's what i want to know!
The coordinates of the centroid relate to the average of coordinates of the triangle's vertices. Free online calculation tool - mathopenref.com/coordcentroid.html
In two dimensions, I believe that it is the centroid of the rectange. In 3D, it would be an infinite line drawn normal to the surface of the rectangle, and passing through its centroid. I suppose that a circle of infinite radius also counts as an answer, because each point is equally (infinitely) far from each vertice, but I do not think that is what the quesion is asking.
You simply find the midpoint of each side of the triangle, then you draw a line connecting the midpoints to their opposite corners of the triangle. The intersection of these points will occur at the same point: the centroid.