Question

If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the co-ordinates of its centroid​

Answer 1

`G=(2,(5)/(3) ).`

Explanation:

Let the given vertices of a triangle be
`A(-2,3)`and
`B (4,-3)` let the third vertex be
`C (4,5)`.

Let Centroid be G =
`[(x_(1) +x_(2)+x_(3) )/(3) , (y_(1)+y_(2)+y_(3) )/(3) ]`

⇒
`G=((-2+4+4)/(3) ,(3-3+5)/(3))`

⇒
`G=((6)/(3) ,(5)/(3) )\\`

⇒
`G=(2,(5)/(3) ).`