Difference between revisions of "Shoelace"

Latest revision as of 22:05, 9 May 2009

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Revision as of 06:49, 9 May 2009 (view source) Katherine chiu (talk \| contribs) (New page: Let <math>(x_1, y_1)</math>, <math>(x_2, y_2)</math>, <math>(x_3, y_3)</math>,..., <math>(x_n, y_n)</math> be the coordinates of the vertices, arranged counterclockwise, of an n-sided con...)		Latest revision as of 22:05, 9 May 2009 (view source) Boy Soprano II (talk \| contribs) (replacing with redirect to shoelace theorem)
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−	Let <math>(x_1, y_1)</math>, <math>(x_2, y_2)</math>, <math>(x_3, y_3)</math>,..., <math>(x_n, y_n)</math> be the coordinates of the vertices, arranged counterclockwise, of an n-sided convex polygon. Then the area of the polygon is given by the formula	+	#REDIRECT [[Shoelace Theorem]]
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−	~~<math>(x_1y_2 + x_2y_3 + x_3y_4 + ... + x_{n-1}y_n+ x_ny_1 - x_2y_1 - x_3y_2 - x_4y_3 - ... x_ny_{n-1}- x_1y_n)/2</math>~~