If the vertices of a triangle have rational coordinates, then prove that the triangle cannot be equilateral.

If the vertices of a triangle having integral coordinates . Prove that triangle can't be equileteral .

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angle (b) equilateral (c) isosceles (d) none of these

If two vertices of an equilaterla triangle have integral coordinates, then the third vetex will have

Statement 1 : If the vertices of a triangle are having rational coordinates, then its centroid, circumcenter, and orthocentre are rational. Statement 2 : In any triangle, orthocentre, centroid,and circumcenter are collinear, and the centroid divides the line joining the orthocentre and circumcenter in the ratio 2:1.

If the coordinates of vertices of a triangle is always rational then the triangle cannot be

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.

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the coordinates of the centroid G of the triangle.

If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle POR is (are) always rational point(s) ?

In a triangle ABC sin (A/2) sin (B/2) sin (C/2) = 1/8 prove that the triangle is equilateral

Two vertices of a triangle have coordinates (-8,\ 7) and (9,\ 4) . If the centroid of the triangle is at the origin, what are the coordinates of the third vertex?