Question

please answer the question
Find the coordinates of the third vertex of a triangle whose two vertex and centroid are (0,0),(5,6),(0,3) respectively

please answer this .

Answer 1

Let a(0,0) and B(5,6) and C(x,y) be vertices and centroid (0,3)

centroid O=(x1+x2+X3)/3 and (y1+y2+y3)/3

for x

0+5+x/3=0

5+x=0

x=-5

(0+6+y)/3=3

6+y=9

y=3

therefore the third vertices

is C(x,y)=(-5,3)