Question

Two vertices of Triangle are A(6,4) and B(-2,2) If the centriod is find the third vertex of the triangle and also find the area 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)