MathDB

Regular hexagon

Source: JBMO 2005 Shortlist

October 17, 2012

geometrycircumcircletrigonometryangle bisectorgeometry unsolved

Problem Statement

Let

ABCDEF

be a regular hexagon and

M\in (DE)

N\in(CD)

such that

m (\widehat {AMN}) = 90^\circ

and

AN = CM \sqrt {2}

. Find the value of

\frac{DM}{ME}