# Total Areas of Alternating Subtriangles in a 2*n*-gon

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Let P be a point connected to and inside the vertices of a -gon. Number the triangles counterclockwise from to . Then the sum of the areas of the even-numbered triangles is equal to the sum of the areas of the odd-numbered triangles.

[more]Contributed by: Jay Warendorff (April 2018)

## Snapshots

## Details

A generalization of problem 4.28 in Problems in Plane and Solid Geometry v.1 Plane Geometry by Viktor Prasolov.

## Permanent Citation

"Total Areas of Alternating Subtriangles in a 2*n*-gon
"

http://demonstrations.wolfram.com/TotalAreasOfAlternatingSubtrianglesInA2nGon/

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Published: April 24 2018