What is the centroid of a triangle with corners at $(1, 1 )$ , $(3, 2 )$ , and $(8 , 6 )$ ?

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Answer 1 · 2016-01-22T14:54:40

The centroid is
$=(4,3)$

The coordinates of the vertices are
$(1,1) = color(blue)(x_1,y_1$
$(3,2) = color(blue)(x_2,y_2$
$(8,6) = color(blue)(x_3,y_3$

The centroid is calculated using formula :
centroid $=((x_1+x_2+x_3)/(3) , (y_1+y_2+y_3)/3)$

$=((1+3+8)/(3) , (1 + 2 +6)/3)$

$=((12)/(3) , (9)/3)$

$=(4,3)$

What is the centroid of a triangle with corners at (1, 1 )(1, 1 ), (3, 2 )(3, 2 ), and (8 , 6 )(8 , 6 )?