What is the centroid of a triangle with corners at $(3, 2 )$ , $(5,5 )$ , and $(12 , 9 )$ ?

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Answer 1 · 2016-01-16T17:34:24

The centroid $= (20)/3 , (16)/3$

The corners of the triangle are
$(3,2) = color(blue)(x_1,y_1$
$(5,5) = color(blue)(x_2,y_2$
$(12,9) = color(blue)(x_3,y_3$

The centroid is found using formula

centroid $= (x_1+x_2+x_3)/3 , (y_1+y_2+y_3)/3$

$= (3+5+12)/3 , (2+5+9)/3$

$= (20)/3 , (16)/3$

What is the centroid of a triangle with corners at (3, 2 )(3, 2 ), (5,5 )(5,5 ), and (12 , 9 )(12 , 9 )?