Answer: (1,3)
Explanation:
the centroid is point inside a triangle where center of all three sides lies.
we have formula for centroid as [tex](x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3} )[/tex]
here we have three coordinates of both variables x, y are given as below
[tex]x_1= -3, x_2=1, x_3=5\\y_1=1, y_2=6, y_3=2[/tex]
substituting the values of given variables in the formula we will get
[tex]x =\frac{-3+1+5}{3} =1\\\\y =\frac{1+6+2}{3}=3[/tex]
Hence, centroid of given triangle ABC is (x,y) = (1,3)
