1997 JBMO Problems
Show that given any 9 points inside a square of side length 1 we can always find 3 that form a triangle with area less than .
Let . Compute the following expression in terms of :
Let be a triangle and let be the incenter. Let , be the midpoints of the sides and respectively. The lines and meet at and respectively. Prove that .
Determine the triangle with sides and circumradius for which .
Let , , , be positive integers such that Show that at least two of the numbers are even.
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