Littlelad

10-13-2009, 05:44 AM

Im pretty sure the answer is no but i only got this by drawing an equaltioral triangle Think i am supposed to use the pigeonholre principle Any ideas?????

Five Professors want to built their houses within the triangular area between the Uni-

versity, the shopping center and the school, each of which are 2km apart. Is it possible

for them to built their houses such that each house is more than 1 km from the others?

[Hint: Divide the equilateral triangle into four regions!]

Five Professors want to built their houses within the triangular area between the Uni-

versity, the shopping center and the school, each of which are 2km apart. Is it possible

for them to built their houses such that each house is more than 1 km from the others?

[Hint: Divide the equilateral triangle into four regions!]