Question

please solve his question for me: A(3,2) and B(-2,1) are two vertices of a triangle ABC. Its centroid is g(5/3,-1/3). Find the coordinates of vertex cC of the triangle. if u can not solve it here please mail it on my id its khushboo161195@ yahoo.in

Answer 1

A(3,2),B(-2,1) and let C (x,y) are three vertices of the triangle G= (5/3,-1/3)

if (x1,y1), (x2,y2),(x3,y3) are 3 vertices of the triangle then

(sum of x-co ordinates/3, sum of y-co ordinates/3) = G
[(3-2+x/3)/3, (2+1+y)/3] = G(5/3,-1/3)

(1+x/3,3+y/3) = (5/3,-1/3)

equate x - co ordinates and y- co ordinates
(1+x)/3 = 5/3 and (3+y)/3 = -1/3

1+x =5 and 3+y = -1
x= 5-1 and y=-1-3
x= 4 and y = -4
therefore
c(x,y) =(4,-4)