Question

Given AD and BE and CF are medians of Triangle ABC and the medians intersect at point G: If AG=23-3x and GD = x+2 find x

Answer 1

I know the centroid theorem states that the centroid of a triangle is located two thirds of the medians distance from the vertex, so does that mean is it 2(AG)=1(GD)? I

Answer 2

o yeah, right
The centroid divides each median into parts in the ratio 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex.

Answer 3

AG will be 2 times as long as GD

Answer 4

just set up that equation and solve for the x value

Answer 5

It was what I thought ;p really was making sure, final for geometry tomorrow means x=6.28

Answer 6

no prob, had me look it up to remind myself, so something was gained at least. hah