Minimum Perimeter of an Inscribed Triangle - Jan. 9-13, 1995 BJ came into class and said to Bonnie, "Ask me what cool things I did over the holiday." "Okay," said Bonnie. "What cool things did you do?" "Well, I was wandering around on campus at the college, and I decided to check out the math department. One of the professors had a problem on her door that didn't look too hard to me. It said:" 'Given a circle of unit radius, what's the perimeter of the smallest triangle whose vertices are on the circle and which contains the center of the circle?' "That doesn't sound too hard," admitted Bonnie. BJ said, "No, it doesn't. But it got me to thinking also about what the perimeter of the largest triangle would be, too. And as the vertices move around the triangle, does anything happen that might give us a clue what the minimum (and maximum) would be?" [Credit to M. Catalano-Johnson, upon whose door this problem really was found!] Correct solutions to the problem were submitted by: Sean Nichols, Burnaby South Secondary School Kim Carbone, Fairfield HS Jen Abrahamsen, Fairfield HS Betsy McCormick, Fairfield HS Julie Black, Fairfield HS Ashleigh Rossman, College Park High School Faaiza Bashir, College Park High School Roy Holtman, College Park High School Susie Goetz, College Park High School Next problem || Previous problem || Table of Contents || Forum Home Page