Question

A(-5,2),B(x,-3),C(-2,y)are the vertices of ∆ABC. G is the centroid of ∆ABC.The co-ordinates of G are G(-2,1) then find the value of x and y

Answer 1

hope this will help.......

Answer 2

The points $A(-5, 2), B(x, -3), C(-2, y)$ are the vertices of the given triangle Δ$ABC$, then its centroid will be given by

≡$G ( \frac{-5 + x - 2}{3}, \frac{2 - 3 + y}{3}) ( \frac{x - 7}{3}, \frac{y - 1}{3}) (-2, 1)$

Equating the coordinates,

[tex] \frac{x - 7}{3} = -2 x - 7 = -6 x = -1 [/tex]

[tex] \frac{y - 1 }{3} = 1 y - 1 = 3 y = 4 [/tex]