6. (a, 0) and (0, b) are the two vertices of a
triangle. If the centroid of the triangle is at
the origin, then find the other vertex of the
triangle.
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Answer:
Let the third vertex of the triangle be C(x,y) and the other vertices A(-3,1) and B(0,-2).
Coordinates of the centroid of the triangle = (0,0)
∴ (-3+0+x / 3, 1-2+y / 3) = (0,0)
-3+x = 0
x = 3
And - 1 + y = 0
y = 1
∴ The third vertex of the triangle is (3,1)
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Answer:
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