Question

the centroid of triangle made by the vertices A(-2,3) ; B(4,1) ; C(1,2) is​

Answer 1

Step-by-step explanation:

centroid =( x1+x2+x3/3,y1+y2+y3/3)

(-2+4+1/3),3+1+2/3)

(2+1/3,6/3)

(3/3,6/3)

(1,2)

centroid of the triangle is (1,2)

Answer 2

Answer:

( 1, 2 )

Step-by-step explanation:

Let,

A ( - 2, 3 ) = A ( x1, y1 )

where, x1 = - 2, y1 = 3

B ( 4, 1 ) = B ( x2, y2 )

where, x2 = 4, y2 = 1

C ( 1, 2 ) = C ( x3, y3 )

where, x3 = 1, y3 = 2

Centroid of triangle formula,

= ( x1 + x2 + x3,    y1 + y2 + y3 )

 ___________ , __________

             3                       3

= ( - 2 + 4 + 1  3 + 1 + 2 )

  ________ , _______

          3                 3

= ( 3 / 3 , 6 / 3 )

= ( 1, 2 )

Therefore, the centroid of triangle made by the vertices

A ( - 2 , 3 ) ; B ( 4 , 1 ) ; C ( 1 , 2 ) is ( 1, 2 )​