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rotation rectangle

Source: 30-th Vietnamese Mathematical Olympiad 1992

February 17, 2007
geometrygeometric transformationrotationrectangleinequalities unsolvedinequalities

Problem Statement

Let HH be a rectangle with angle between two diagonal ≤450\leq 45^{0}. Rotation HH around the its center with angle 00≤x≤36000^{0}\leq x\leq 360^{0} we have rectangle HxH_{x}. Find xx such that [H∩Hx][H\cap H_{x}] minimum, where [S][S] is area of SS.
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