Statement-1 : For triangle whose two vertices are ends of a double ordinate for a parabola and third vertex lies on axis of same parabola incentre , circumcentre , centroid are collinear. `statement-2` : In isosceles triangle incentre, circumcentre, orthocentre, centroid all lie on same line.

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be_____

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.

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.

The third vertex of a triangle, whose two vertices are (-4,1) and (0, -3) and centroid is at the origin is

A triangle has side lengths 18, 24 and 30. Find the area of the triangle whose vertices are the incentre, circumcentre and centroid of the triangle.