Dissection of the arbitrary triangle
to four triangles with equal area
Sides of the triangle are: a = BC, b = AC, c = AB,
ha is the altitude AD (not shown!) from the vertex A to the side CB;
xb = (b2 - ha2)1/2 is the distance from the vertex C to the foot of altitude AD.
The coordinates of the vertices of the triangle:
C{0,0}, B{a,0}, A{xb , ha}.
Two cases are shown with coordinates of the points.
These two cases are actually mirror reflections of
each other
in the vertical axis.
See also:
case of the Equilateral Triangle
