Two Vertices of a triangle ABC are given by A(6,4) and B(-2,2), and its centroid is G(3,4). Find coordinates of the third vertex C of Triangle ABC.

Given:** **The coordinates of two vertices of a triangle ABC are A(6, 4), B(-2, 2) and the coordinates of the centroid is

G(3,4).

Let the coordinate of the third vertex of the triangle be C(*x*, *y*).

⇒ Coordinates of G =

⇒ 4+x = 9 and 6 + *y* = 12

⇒ *x* = 9 - 4 = 5 and *y* = 12 - 6 =6

Hence, the required coordinate of the third vertex of the triangle is C(5, 6).

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