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If a triangle has it's orthocenter at (1...

If a triangle has it's orthocenter at (1,1) and circumcentre (3/2,3/4) then centroid is:

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Statement 1: If in a triangle, orthocentre, circumcentre and centroid are rational points, then its vertices must also be rational points. Statement : 2 If the vertices of a triangle are rational points, then the centroid, circumcentre and orthocentre are also rational points.