The diagonals of a square meet at O. The bisector of angle OAB meets BO and BC at N and P respectively. The length of NO is 24. How long is PC?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?
Compare it with the ratio $OQ' : OP'$.