There are three high schools located in the diagram below:
Handley is located at (-4, 3);
Sherando is located at (2, -5); and
Millbrook is located at (6, 5).
Where should the Bigger Burger locate?
Solution to the Problem:
The answer is (2, 2)In the diagram below, I located the points which are equidistant from Handley and Millbrook (shown by the path marked in this color). Then I located points which are equidistant from Millbrook and Sherando (shown by the path marked in this color).
Gilbert Melanson sent in an excellent algebraic analysis of this problem.
To see it, click here.
Correctly solved by:
1. Jeffrey "The Yellow Dart" Gaither | Winchester, Virginia |
2. Trey Mason | Winchester, Virginia |
3. John Funk | Ventura, California |
4. Richard Johnson | La Jolla, California |
5. Chris Rogers | Winchester, Virginia |
6. Larry Schwartz | Trumbull, Connecticut |
7. Arsalan Heydarian | Harrisonburg Virginia |
8. Jason LaRusso | Winchester, Virginia |
9. Tarpley Ashworth | Harrisonburg, Virginia |
10. António Baptista | Lisboa , Portugal |
11. Jim Kennedy | Limerick, Ireland |
12. James Alarie | University of Michigan -- Flint, Flint, Michigan |
13. Gilbert Melanson | Sierra Vista, Arizona |
14. Cameron S. | Columbus, Georgia |
15. Ben Swartz | Winchester, Virginia |
16. Jaime Garcia | Virginia Tech, Blacksburg, Virginia |
17. John Harcourt | Columbus, Georgia |
18. Wajih Ansari | Harrisonburg Virginia |
19. Justin Crabill | Harrisonburg Virginia |
20. Tom Robb | Winchester, Virginia |
21. Weimers Winners | Lordstown, Ohio |
22. Angelo Leone | Middletown, Connecticut |
23. David & Judy Dixon | Bennettsville, South Carolina |
24. Kirstine Wynn | St. Olaf College, Northfield, Minnesota |
25. Mac Dillon | Columbus, Georgia |
26. Sam Coffin | Columbus, Georgia |
27. Kevin Jacobson | Columbus, Georgia |
28. Cameron Burkholder | Winchester, Virginia |
29. Sheila Shah | Arlington, Virginia |
30. Tristan Collins | Winchester, Virginia |
31. Walt Arrison | Philadelphia, Pennsylvania |
32. Alex McIntire | Columbus, Georgia |
33. Paige Janke | Columbus, Georgia |