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h^2 <= ab for tangential trapezoid

Source: 1989 Greece MO Grade XI p4

September 7, 2024
geometrytrapezoidtangentialgeometric inequalityGeometric Inequalities

Problem Statement

A trapezoid with bases a,ba,b and altitude hh is circumscribed around a circl.. Prove that h2≤abh^2\le ab.
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