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.

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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