Consider the trianglular region with vertices (0,0) (6,0) and (0,6). find the x and y coordinates of the centroid

Question

Mathematics

Judith Buck

22 May, 11:26

Consider the trianglular region with vertices (0,0) (6,0) and (0,6). find the x and y coordinates of the centroid

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Ally Gordon · Answer 1

Let A = (0,0) (x₁, x₂), B = (6,0) (x₂, y₂) and C = (0,6) (x₃, y₃)

Centroid of ΔABC is given by,

G (x, y) = [x₁+x₂+x₃/3, y₁+y₂+y₃/3] = [0+6+0/3, 0+0+6/3] = [2,2]