MathDB

2011 JBMO Shortlist G5

Source: 2011 JBMO Shortlist G5

October 8, 2017

geometryJBMO

Problem Statement

Inside the square

{ABCD}

, the equilateral triangle

MC=\sqrt{6}

is constructed. Let

{M}

be an interior point of the triangle

\vartriangle ABE

such that

MB=\sqrt{2}

,

MC=\sqrt{6}

,

MD=\sqrt{5}

and

{ME=\sqrt{3}}

. Find the area of the square

{ABCD}

.

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