Question

G(-2, 5), H(6, 5), J(6, -1) 17. Find the coordinates of the centroid.

Answer 1

The coordinates of centroid are: (10/3, 3)

Step-by-step explanation:

The formula for calculating centroid of a triangle is:

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

Here (x1,y1) are the coordinates of first vertex

(x2,y2) are the coordinates of second vertex

(x3,y3) are the coordinates of third vertex

Given:

G(-2,5) = (x1,y1)

H(6,5) =(x2,y2)

J(6,-1) = (x3,y3)

Let I be the centroid of the triangle

Putting the values in the formula

$I(x,y) = (\frac{-2+6+6}{3},\frac{5+5+-1}{3})\\= (\frac{10}{3},\frac{9}{3})\\=(\frac{10}{3},3)$

The coordinates of centroid are: (10/3, 3)

Keywords: Centroid, Triangle

Learn more about centroid at:

• brainly.com/question/4824362
• brainly.com/question/4847829

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