Difference between revisions of "Shoestring"

Latest revision as of 12:07, 24 April 2008

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-This formula finds the area of any 2-D figure whose coordinates of the vertices are known and the order in which the vertices are connected
+#REDIRECT [[Shoelace Theorem]]
-given coordinates (in order) (A,B) (C,D) ...
-One method is to list the x coordinates in order vertically and then move the first coordinate to the bottom.
-List the y coordinates in order next to the x coordinates.
-To the right a little, list the x coordinates in order and then move the last coordinate to the top.
-Next to the 2nd x coordinate list, again list the y coordinates in order.
-Multiply the lists horizontally *only the 2 right lists together and the 2 left lists together*
-, add vertically, find half the positive difference between the 2 sums.
-for a quadrilateral with vertices (2,1) (2,3) (1,2) and (0,0) this means:
-1=2   0 1=0
-3=3   2 3=6
-2=0   2 2=4
-0=0   1 0=0
-   =5     =10
-area is 2.5
-{{wikify}}