Corrie Collier

August 29, 2000

EMAT 4680 (Sketches)

In one investigation I noticed that any point A,B,C the area of the triangle ABC and the area of triangle ABG will always equal each other as long as point G is the midpoint of the line segment BC. Therefore the area of triangle ABG divided by the area of triangle ABC will always equal 1. By moving point G closer to point B involves a change in the area of the triangles ABC and ABG. The area of becomes smaller and the area of triangle ABC becomes larger. Dividing area of triangle ABG by the area of triangle ABC becomes smaller also. It does not matter which point you decide to more whether it be point A,B or C, the same results will still occur.

No matter which point you decide to move, it seems as if point OC will always try and get closer to the point as you try and move for example point C closer to point B. Point OC will always be on the side that you move the point to. It does not matter if you move point A closer to point B or point C closer to point A.