High School Challenge

Week Ending 7-31-98

****Important Notice****

Due to school breaks in many areas, the contest pages will go to a modified format for the months of July and August. This problem will last until the end of July. There will be one problem during July and one during August. We will come back in full force during the month of September! Good Luck.

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

Congratulations to Michael Gough of Walkersville High, Walkersville, MD. Michael wins the Casio CFX-9850G Color Graphing calculator.

Circle Inscribed in Right Triangle

A circle of radius r is inscribed in a right triangle with hypotenuse h. What is the ratio of the area of the circle to the area of the right triangle?

Correct Solutions:

  1. Sorin Ionescu. Ecole Secondaire Dorval, Dorval, Quebec, Canada
  2. David Sorani. Shaare HS, Brooklyn, NY
  3. Lie Ching Ming. SMAK1, Jakarta,Indonesia
  4. Michael Moyer. The Way Home School, Carlisle, PA
  5. Bella Voldman. Brookline HS, Brookline, MA
  6. Richard Deming. PL Dunbar MS, Fort Myers, FL
  7. Amanda Vicary. Farmington HS, Farmington, IL
  8. Nasser Demir. American School of Kuwait, Hawalli, Kuwait $
  9. Kenny Ho. Gordon Graydon SS, Mississauga, Ontario, Canada
  10. Yona Levine. Lehava, Kedumim, Israel
  11. Gaelen Hess. West JHS, Columbia, MO
  12. Juki Wirawan Tantra. SMAK 1, Jakarta, Indonesia
  13. Hilmi Balci. Ankara Atatrk Lisesi, Sihhiye/Ankara
  14. Stanislav Vaysburd. Brooklyn Technical HS, Brooklyn, NY
  15. Koos van Zyl. Overkruin HS, Pretoria, South Africa
  16. Daniel Abramson. St. James, Twickenham, London, England
  17. Justin Lam. College Park HS, Pleasant Hill, CA
  18. Daniel Lee. Torrey Pines HS, San Diego, CA
  19. Michael Smelov. Great Neck NHS, Great Neck, NY
  20. Jacqueline Sin. Stuartholme School, Brisbane, Australia
  21. Jon McAlister. Langham Creek HS, Houston, TX
  22. Ulrik Buchholtz. Dronninggaardskolen, Holte, Denmark
  23. Sobolev Dmitry. Nizhny Novgorod, Russia.
  24. Tuen Mun. Hong Kong, China

Previous Problems

Check out the 3 other contests