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

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

The vertices of a triangle have integer co- ordinates then the triangle cannot be

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

In each of the following vertices of a triangles are given. Find the coordinates of centroid of each triangle. (4, 7), (8, 4), (7, 11)

In each of the following vertices of a triangles are given. Find the coordinates of centroid of each triangle. (3, -5), (4, 3), (11, - 4)

In each of the following vertices of a triangles are given. Find the coordinates of centroid of each triangle. (-7, 6), (2, -2), (8, 5)

The vertices of a triangle are at the vertices of an octagon. The number of such triangles are

Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 eq. units, then the number of elements in the set S is

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is (a) 1/2 (b) 1/5 (c) 1/10 (d) 1/20