The centroid of a triangle is (3+0-a)/9, (2+0+5)/9. The vertices of the triangle are
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centroid of triangle={(x1+x2+x3)/3,(y1+y2+y3)/3}
the vertices of triangle are
(1,2/3),(0,0),(-a/3,5/3)
the vertices of triangle are
(1,2/3),(0,0),(-a/3,5/3)
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