(b) If the vertices of a polygon, in counterclockwise order, are (x,, y,), (x2, Yɔ), · .. (X area of the polygon. O A 2 = (X1V2 + X2V1) + (x2V3 + X3Y2) + … + (x, – 1Yn + XnYn - 1) + (x,Y1 + x1 O A = (x2Y1 - X1Y2) + (x3Y2 - X2Y3) + · . + (x,Yn-1 - Xn-1Yn) + (x1Yn - X,Y1-
(b) If the vertices of a polygon, in counterclockwise order, are (x,, y,), (x2, Yɔ), · .. (X area of the polygon. O A 2 = (X1V2 + X2V1) + (x2V3 + X3Y2) + … + (x, – 1Yn + XnYn - 1) + (x,Y1 + x1 O A = (x2Y1 - X1Y2) + (x3Y2 - X2Y3) + · . + (x,Yn-1 - Xn-1Yn) + (x1Yn - X,Y1-
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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