Question

Two vertices of a triangle are ( -1, 4) and (5, 2). If the centroid is (0, 3), find the third vertex. 

Answer 1

Let G be the centroid of Δ ABC whose coordinaes are (0 , -3) and let C (x , y) be the coordinates of thgird vertex

coordinates of G are ,

G (0 , -3) = G `((- 1 + 5 + "x")/3 , (4 + 2 + "y")/3)`

O = `(4 + "x")/3  ,  -3 = (6 + 4)/3`

x = -4 , y = - 15

Coordinates of third vertex are (-4 , - 15)