Difference between revisions of "1970 Canadian MO Problems/Problem 5"
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Revision as of 13:51, 30 July 2006
Problem
A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths $a$, $b$, $c$ and $d$ of the sides of the quadrilateral satisfy the inequalities 2\le a^2+b^2+c^2+d^2\le 4.$