If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is
(4,8)
Given:
Centroid = (4,6)
Vertices (6,4) & (2,6)
Let the Co-ordinates of C be (x3, y3)
x1=6, x2=32, y1=4 & y2=6
Centroid (4,6)=(x1+x2+x33,y1+y2+y33)
⇒4=6+2+x33 and 6=4+6+y33
⇒ x3=4 and y3=8
∴ Third vertex is (4,8).