Prove that that a triangle which has one of the angle as `30^0` cannot have all vertices with integral coordinates.

Prove that that s triangle which has one of the angle as 30^(@) cannot have all vertices with integral coordinates.

Show that the triangle which has one of the angles as 60^(@) can not have all vertices with integral coordinates.

Show that the triangle which has one of the angles as 60^(@) can not have all verticles with integral coordinates.

Show that the triangle which has one of the angles as 60^(@) can not have all verticles with integral coordinates.

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

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 "60" sq.units,then the number of elements in the set "S" 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

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

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 sq. units, then the number of elements in the set S is