Question

find the centroid of triangle formed by (7,4) (4,-6) (-5,2)​

Answer 1

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G = $( \frac{x_1 + x_2 + x_3}{3} , \frac{y_1 + y_2 + y_3}{3} )$

= $( \frac{7 + 4 - 5}{3} \frac{4 - 6 + 2}{3} )$

= $( \frac{6}{3} , \frac{0}{3} )$

= $(2 ,\: 0)$

Answer 2

Centroid is denoted by G

G=X1+X2+X3/3,Y1+Y2+Y3/3

Just Substitute The Values

=(7+4-5/3,4-6+2/3)

=(11-5/3,-2+2/3)

=(6/3,0/3)

=(2/1,0/3)

=(2,0)

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