Question

If centroid of a triangle formed by (3,x), (-1,5), and (y,-6) is (0,1) find (x,y)​

Answer 1

Answer:

Centroid coordinates of triangle = (0,1)

For value of y,

Centroid of triangle = (x1+x2+x3)/3

0 = (3+ -1 +y)/3

0 = (2+y)/3

0×3 = 2+y

0 = 2+y

y = -2

For value of x,

Centroid of triangle = (y1+y2+y3)/3

1 = (x+5+ -6)/3

1 = (x-1)/3

1×3 = x-1

3 = x-1

x=4