Q. 12 B4.0( 9 Votes )

The co-ordinates of centroid of triangle is (6, 9) and two vertices are (15, 0) and (0, 10); let us find the co-ordinates of third vertex.

Answer :

Let the vertices of triangle be


A = (x1, y1) = (15, 0) and


B = (x2, y2) = (0, 10) and


C = (x3, y3)


Centroid G = (6, 9)


Centroid of a triangle is given by


G =


(6, 9) =


Substituting values


(6, 9) =


Equating x and y coordinates


= 6 and = 9


15 + x3 = 18 and 10 + y3 = 27


x3 = 3 and y3 = 17


Hence the coordinates of third vertex is (3, 17)


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