AREA RELATED TRIANGLE
We can verify the following theorem by dragging the vertices
1.If the G is the centroid of triangle ABC, then the area of triangle AGB, triangle BGC, triangle AGC are equal.
area of triangle AGB = triangle BGC = triangle AGC = 1/3 Area of triangle ABC
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
Area of triangle AFE = area of triangle DEF = area of triangle BDF = area of triangle DCE = 1/4 Area of triangle ABC