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Journey to the Center of a Triangle

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Visit this site: http://mathforum.org/~sanders/centertriangle/

Author:Cathleen V. Sanders
Description: What is the center of a triangle? A reflective exploration by high school geometry students in Honolulu using interactive geometry software to pursue the question in three different scenarios: as a city planner selecting a site to build a recreation center shared fairly by three Hawaiian cities; as a sculptor suspending a mobile of triangular pieces so that their surfaces lie parallel to the ground; and as an architect placing the largest possible circular addition to a house within prescribed setback lines. The page "Where Are the 4 Centers of a Triangle?" discusses the various possible locations of orthocenters, incenters, circumcenters, and centroids in acute triangles, right triangles, obtuse triangles, scalene triangles, isosceles triangles, and equilateral triangles. With a special note to teachers, student ideas, hints, project summary, applications of the centers.

Levels: High School (9-12)
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Triangles and Other Polygons

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