MathDB
KMO second round #3

Source:

May 6, 2005
geometryrectanglegeometry unsolved

Problem Statement

Positive real numbers, a1,..,a6a_1, .. ,a_6 satisfy a12+..+a62=2a_1^2+..+a_6^2=2. Think six squares that has side length of aia_i (i=1,2,…,6i=1,2,\ldots,6). Show that the squares can be packed inside a square of length 22, without overlapping.
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