Question

The centeroid of a triangle whose vertices are A (2,4), B (4,3) and C (3,2) is

Answer 1

Question

Find the centroid of triangle whose vertices are (3, 4) (2, -1) and (4, -6).

Let the vertices be A (3,4) B (2,-1) and C (4,-6)

x1 = 3, x2 = 2, x3 = 4

y1 = 4, y2 = -1, y3 = -6

Centroid of a triangle = (x1+x2+x3)/3, (y1+y2+y3)/3

= [ (3+2+4)/3 , (4+(-1)+(-6)/3 ]

= (5 + 4)/3 , (4 - 1 - 6)/3

= [9/3 , (4-7)/3]

= [9/3 , -3/3]

= (3, -1)