Triangle ABC - June 13-17, 1994 Given any triangle ABC. Construct D and E as the midpoints of AB and BC. Construct DF and EF, where F is any point on AC. Now construct the polygons BDFE, AEF, and FDC, and look at their areas. What do you find? What happens when F is the midpoint of AC? Are there other interesting positions for F? Can you explain what you've found? No correct solutions to the problem were submitted. Previous problem || Table of Contents || Forum Home Page