Question

If G(-2,1) is the centroid of a triangle ABC and two of its vertices are A(1,-6) and B(-5,2),find the third vertex of the triangle?

Answer 1

heya friend !

here's ur answer >>>

the given points are A(1,-6) B(-5,2) C(x,y)

the centroid (G) = (x1+x2+x3/ 3 , y1+y2+y3/ 3)

(-2,1) = (1-5+x/ 3 , -4+y/ 3)

        =(-4+x/ 3 , (-4+y/ 3)

=>  -2 = -4+x / 3   and   1 = -4+y / 3

-6 = -4+x                          3 = -4+y

x = -6+4                            y = -3+4

   = -2                                    = 1

Therefore, the third vertex is (-2, 1)

verification :

G = {1+(-5)+(-2) /3 , -6+2+7 / 3}

  = {-7+1 / 3 , -4+7 / 3}

   = {-6/3 , 3/3}

   = (-2,1)

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Wish this will help you !

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Answer 2

HI FRIEND.....THIS IS MY ANSWER