Question

two vertices of triangle ABC are A (6,4) B(-2,2) its centroid is G(3,4) Find the coordinates of third vertex C of triangle ABC

Answer 1

Centroid of the circle is given by [(x1 + x2 + x3)/3],[(y1+y2+y3)/3]
Here (6+-2+x)/3=3
∴(x+4)/3=3
∴x+4=9
∴x=5

and (4+2+y)/3=4
∴(6+y)=12
∴Y=6


Hence the other vertex of the triangle is C(5,6)

Hope it helps

Answer 2

The Centroid of the circle is given by [(x1 + x2 + x3)/3],[(y1+y2+y3)/3]

Here (6+-2+x)/3=3

∴(x+4)/3=3

∴x+4=9

∴x=5

and (4+2+y)/3=4

∴(6+y)=12

∴Y=6

Hence the other vertex of the triangle is C(5,6)