# Geometry Problem 1283

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### Elements: Two Equilateral Triangle, Perpendicular, Midpoint.

In an equilateral
triangle ABC, CDE is a line through C so that AD and BE are perpendicular
to CDE, as shown in the figure. If M is the midpoint of AB, prove that the
triangle MDE is equilateral.

See also:

Geometry Problems

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Open Problems

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Triangle

Equilateral Triangle

Midpoint

Perpendicular lines

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