MathDB

LIMIT 2020 P7

Source: LIMIT 2020

April 11, 2020

geometrytrapezoidgeometric transformation

Problem Statement

\triangle{ABC}

is equailateral.

E

is any point on

\overline{AC}

produced and the equilateral

\triangle{ECD}

is drawn. If

M

and

N

are the midpoints of

\overline{AD}

and

\overline{EB}

respectively then show that

\triangle{CMN}

is equilateral.

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