Total Areas of Alternating Subtriangles in a 2n-gon
Total Areas of Alternating Subtriangles in a 2n-gon
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.
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Drag the point P to change the figure.