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.
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Email  By Antonio Gutierrez
