Problem 
of the 
Week 

PROBLEM 65

Note: This is the last problem for the semester. The Problem of the Week will resume at the start of the Fall Semester. I'll contact the Winners of this semester's problems series shortly. Enjoy your break.

If you'd like me to notify you by email when the Problem of the Week resumes in the fall, please drop me a line, including your email address. I'll send you a note in late August or early September.


Given any nine points in a unit square, must there be among the triangles having vertices on the given points at least one whose area is no more than 1/8?



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