High School Challenge

Week Ending 2-7-99

Send Answer to: ucfcasio@pegasus.cc.ucf.edu

Congratulations to Lisa Stover of Arkport Central High School in Arkport, NY. Lisa wins the Casio CFX-9850G Color Graphing calculator.

How far away is the point?

You are given a square of side length 1 with vertices A, B, C, and D, taken in counterclockwise order. The distance of a point P from A is u, from B is v, and from C is w. What is the greatest distance P can be from D if it is set so u2 + v2 = w2?

Correct Solutions:

  1. Michael Moyer. The Way Home School, Carlisle, PA
  2. Morgan Chen. Mt. Carmel HS, San Diego, CA
  3. Andy Novocin. Stanton College Prep, Jacksonville, FL
  4. Sorin Ionescu. John Abbott College, Montreal, Canada
  5. Eric Hoke. Wayland HS, Wayland, MA
  6. Justin Shih. Clear Lake HS, Houston, TX
  7. Sai Rao. Clear Lake HS, Houston TX
  8. Yiming Yao. Hazen HS, Renton, WA
  9. Chen Lin. Mckinley HS, Honolulu, HI
  10. Laurel Maharaj. Rio Claro HS, Trinidad, West Indies
  11. Bella Voldman. Brookline HS, Brookline, MA
  12. Nima Ghamsari. Sycamore JHS, Cincinnati, OH
  13. Richard Deming. PL Dunbar MS, N. Fort Myers, FL
  14. Denis Chebikin. Riga SS No 40, Riga, Latvia
  15. Alexandra Korolyova. Riga SS No 40, Riga, Latvia
  16. Jason Juang. Sycamore JHS, Cincinnati, OH
  17. Xingji Zheng. Abby Senior SS, Abbotsford, BC, Canada
  18. Leslie CY Chan. Langstaff SS, Thornhill, ON, Canada

Previous Problems

Check out the 3 other contests