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Four Construction Problems

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Visit this site: http://www.maa.org/editorial/knot/GenCon.html

Author:Cut the Knot!, Alexander Bogomolny
Description: Construct a triangle, given the three points in the plane that are the outer vertices of equilateral triangles constructed outward on the sides of the desired triangle. Construct a triangle, given the three points in the plane that are the centers of squares constructed outward on the sides of the desired triangle. Construct a heptagon (polygon of 7 sides), given the seven points that are the midpoints of its sides. With an applet to help solve the general problem.

Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles, Articles, Web Interactive/Java
Math Topics: Constructions, Triangles and Other Polygons, Transformational Geometry

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