Question

The vertices of a triangle are (-2,3), (4,6) ,(7,0). Find the centroid of the triangle.​

Answer 1

Answer:

Step-by-step explanation:

Let A (x1, y1), B (x2, y2) and C (x3, y3) are  the three vertices of the ∆ABC .

Let D be the midpoint of side BC.

Since, the coordinates of B (x2, y2) and C (x3, y3), the coordinate of the point D are (x2+x32, y2+y32).

Let G(x, y) be the centroid of the triangle ABC.

Then, from the geometry, G is on the median AD and it divides AD in the ratio 2 : 1, that is AG : GD = 2 : 1.

Answer 2

Answer:(3,3)

Step-by-step explanation:

Let Centroid co ordinate be(x,y)

x=(-2+4+7)/3

=9/3=3

y=(3+6+0)/3

=9/3=3

Co ordinates of centroid is(3,3)