Question

If the coordinates of the midpoints of the sides of a triangle are given, find its centroid

Answer 1

Answer:

first of all complete question is The midpoints of the sides of a triangle PQR are (-4,0), (-2,2) and (2,4). How do I find the centroid of the triangle PQR?

NOW ANSWER

Centroid of triangle  with vertices (x1 ,y1),(x2 ,y2) and (x3,y3)(x3,y3) is given by  (x1+x2+x33,y1+y2+y33)(x1+x2+x33,y1+y2+y33) .

Centroid of the triangle PQR and the Centroid of the triangle formed from the midpoints of the sides is the same.  

Hence centroid is

G=(−4−2+23,0+2+43−4−2+23,0+2+43) = (−43,2−43,2)

Answer 2

hi friend, suppose there is a triangle whose vertices are:A(x1' y1) , B(x2,y2) , C(x3, y3) |

then there is a formula to find the centroid of a triangle
which are given below:

X=(x1+x2+x3/2)

Y=(y1+y2+y3/2)

so, friend
put this formula in your question and
solve it