Find points A, B and C, one on each side of the triangle (but
not at the vertices), such that the area of triangle ABC is one
quarter the area of triangle PQR.
Now find points such that the area of triangle ABC is one half
the area of triangle PQR and a method that will give any fraction
of the area between one quarter and one.
How would you adapt your method to give fractions less than one
quarter?