What are four ways to quadrisect any triangle with compass and straightedge? I have a few already:
Draw a median and from the midpoint, draw two medians to the remaining sides.
Draw a median and from the point from which it is drawn, draw two medians, quadrisecting the one side.
Draw a horizontal midline, and from the intersection points, draw two lines to the midpoint of the base.
They have to be constructable with a compass and an unmarked straightedge, and must divide the triangle into four pieces with equal area, but they do not have to be similar to the original triangle.
Hint without words:
Hint 2:
(Ignore this sentence.)