Inscribed Tombstone - May 30-June 3, 1994: The Greek mathematician asked that the following figure be put on his tombstone: Construct a square. Inscribe a circle in the square. Construct the midpoint of the top edge of the square, and construct a triangle using the base of the square and the point you just constructed. See the figure below. Now, find the areas of the square, circle, and triangle. How do the areas of the three figures relate to each other? (Hint: let the area of the square be 4. What are the other areas? Now let the area of the square be x^2 - what are the areas?) Correct solutions were submitted by: Tony Aiello Grade 10, Shaler Area Highschool Ian Ross Grade 10, Shaler High School Brandon Verdream Grade 10, Shaler High School Paul Curcio Grade 9, Masterman High School, Philadelphia, PA Mark Berneburg Grade 10, Shaler High School Chris Taormina Grade 10, Shaler Area High School Dan DiGirolamo Grade 10, Shaler Area High School Hannah Guhm Grade 9 Masterman Philadelphia Percy Rosario Grade 9 Masterman Philadelphia Patrick McGinley Grade 9 Masterman Philadelphia Karen Brown Grade 9 Masterman Philadelphia Susan Quan Grade 7 Masterman Philadelphia Keith Monteleone Grade 10, Shaler Area High School Jenn Strong Grade 10, Shaler Area High School Rebecca Naughton Grade 9, Fairfield HS Jennifer Edelmann, Grade 9, Fairfield HS Anna Mata, Grade 9, Fairfield HS Ryan Phelan, Grade 10, Fairfield HS Philip Rossi, Grade 9, Fairfield HS Next problem || Previous problem || Table of Contents || Forum Home Page