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Radius of circle contained in quadrilateral

Source: Tuymaada 2012, Problem 7, Day 2, Juniors

July 21, 2012
inequalitiesgeometrytrigonometrygeometry proposed

Problem Statement

A circle is contained in a quadrilateral with successive sides of lengths 3,6,53,6,5 and 88. Prove that the length of its radius is less than 33.
Proposed by K. Kokhas