A(1, 2), B(4, 6) and C(8, 12) form the vertices of a triangle. Which of the following is not the coordinates of medians of triangle ABC?
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
The coordinates of the midpoint of a line segment joining (x1,y1) and (x2,y2) are (x1+x22,y1+y22).
Substituting values of x1,x2,y1 and y2 , we get
Midpoint of AB = (1+42,2+62) = (52,4)
Midpoint of BC = 4+82,6+122 = (6, 9)
Midpoint of AC = 1+82,2+122 = (92,7)
Therefore, the only option which is not a median of the given triangle is (72,4).