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) ?

If the vertices P,Q,R of a triangle PQR are rational points,which of the following points of thetriangle PQR is/are always rational point(s) ?(A) centroid(B) incentre(C) circumcentre(D) orthocentreAgrawn Korouteden36

If the vertices of a triangle PQR are rational points, then which of the following points of this triangle may not be rational - (a)   Centroid     (b)   Incenter (c)    Circumcenter     (d)    Orthocenter

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.

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

In a triangle PQR mark the points H, L. on triangle PQR.

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

In a triangle PQR mark the points X, Y, Z in the interior of triangle PQR

In a triangle PQR mark the points A, B, C in the exterior of triangle PQR