We can verify the following theorem by dragging the vertices[br]1.If the G is the centroid of triangle ABC, then the area of triangle AGB, triangle BGC, triangle AGC are equal. [br]area of triangle AGB = triangle BGC = triangle AGC = 1/3 Area of triangle ABC[br]2.If D,E,F are the mid points of sides BC,AC,AB respectively of a triangle ABC then the area of triangle AFE, area of triangle DEF, area of triangle BDF, area of triangle DCE[br]Area of triangle AFE = area of triangle DEF = area of triangle BDF = area of triangle DCE = 1/4 Area of triangle ABC