Centroid Problem taht i don't understand?

Question

There is triangle at coordinates A (-5,8) B (-3,-4) and C (9,4)
Find the coordinates of the centroid of triangle ABC.
What is a centroid?

Answer 1

The centroid is the arithmetical mean (average) position of the triangle. You can find out its coordinates by adding the individual x and y coordinates and dividing by three:

centroid = ( (A.x+B.x+C.x)/3, (A.y+B.y+C.y)/3 )

Answer 2

The centroid is the center of fravity of the triangle and is the common intersection of the three medians of the triangle. If you cut a triangle out of some stiff card board, then you culd balance it on a pin at the centroid.

The centroid cuts eac median such that the distance from the vertex to the centroid is twice the distance from the centroid to the middle of the side opposite the vertex.

In your triangle, the centroid would be located at (1/3, 2 2/3).

Answer 3

In a triangle, the centroid is the intersection point of three medians. Its coordinates can be calculated as the average of x and the average of y.

x = (-5-3+9)/3 = 1/3
y = (8-4+4)/3 = 8/3

Answer 4

The best way to find out would be to look in the index of your math (geometry?) textbook and find where your book has that definition.

I believe it means the point in the middle of triangle where lines bicecting each side of the triangle meet.