Question

Need help please, i will give brainlyist.

Answer 1

We know that to find the centroid of a triangle the formula is:

( x1 + x2+x3/ 3, y1 + y2 + y3/ 3).

Thus we have that the centroid of A, B, and C is:

( (-3+ 1 + 5)/ 3, (1 + 6 + 2)/3) = ( 1, 3) .

Answer:

(1,3)

Answer 2

If Coordinates of a Triangle are : (x₁ , y₁) , (x₂ , y₂) , (x₃ , y₃) , Then :

$\clubsuit\;\;Centroid\;is\;given\;by\; [\frac{x_1 + x_2 + x_3}{3} , \frac{y_1 + y_2 + y_3}{3}]$

Here : x₁ = -3 , x₂ = 1 , x₃ = 5 and y₁ = 1 , y₂ = 6 , y₃ = 2

$\implies Centroid = [(\frac{-3 + 1 + 5}{3}) , (\frac{1 + 6 + 2}{3})]$

$\implies Centroid = [(\frac{3}{3}) , (\frac{9}{3})]$

$\implies Centroid = (1 , 3)$