Question

If A(1, 4), B(3, 2) and C(7, 5) are the vertices of a triangle ABC.

Find the coordinates of the centroid G of triangle ABC.​

Answer 1

To find the x co-ordinates of G we use the formula -

( x1 + x2 + x3 / 3 )

In above question , x1 = 1 , x2 = 3 , x3 = 7

So => ( 1 + 3 + 7 ) / 3 = 11/3

To find the y co-ordinates of G we use the formula -

( y1 + y2 + y3 / 3 )

In above question , y1 = 4 , y2 = 2 , y3 = 5

So => ( 4 + 2 + 5 ) / 3 = 11/3

So the co-ordinates of G ( 11/3 , 11/3).