Q9 of 53 Page 115

A(h, -6), B(2, 3) and C(-6, k) are the co-ordinates of vertices of a trianglewhose centroid is G (1, 5). Find h and k.

The coordinates of the centroid (x,y) od a triangle formed by points (a,b), (c,d), (e,f) is given by




In the given question:



Solving for h we get


h = 7



Solving for k we get


k = 18


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7

Find the centroids of the triangles whose vertices are given below.

(1) (-7, 6), (2, -2), (8, 5)


(2) (3, -5), (4, 3), (11, -4)


(3) (4, 7), (8, 4), (7, 11)

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In ΔABC, G (-4, -7) is the centroid. If A (-14, -19) and B(3, 5) then find theco-ordinates of C.

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Find the co-ordinates of the points of trisection of the line segment AB with A(2, 7) and B(-4, -8).

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If A (-14, -10), B(6, -2) is given, find the coordinates of the points whichdivide segment AB into four equal parts.