A Quadrilateral's Minimum Side

★ 7/10plane geometry trigonometry Ptolemy's Inequality

Problem

In a planar quadrilateral $ABCD$ , $AD=1$ , $BD=\sqrt 5$ , $AB\perp AC$ , and $AC=2AB$ . Find the minimum value of $CD$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, trigonometry, Ptolemy's Inequality

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