Marion Walter's Theorem: Triangle and Hexagon areas. Interactive Geometry Software.

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Marion Walter's theorem states that the area of the central hexagonal region HIJKLO determined by trisection of each side of a triangle ABC and connecting the corresponding points with the opposite vertex is given by 1/10 the area of the original triangle.

You can interact with the figure below by dragging the red points and lines.

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More problems about Triangles and trisection of sides: Proposed Problem 61, Problem 121, Problem 122, Problem 123, Problem 124, Problem 125.

Dynamic Geometry: You can alter the figure above dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.

This page uses the TracenPoche dynamic geometry software and requires Adobe Flash player 7 or higher. TracenPoche is a project of Sesamath, an association of French teachers of mathematics.


 

 

Marion Walter theorem

 


 

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