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

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

Find the measure of the angles of a triangle which has one of its exterior angles of 120^(@) and the two interior opposite angles in the ratio 1:2.

A L cm long wire is bent to form a triangle with one of it's angle as 60^(@) .Find the sides of the triangle for which area is largest.

Prove that each angle of an equilateral triangle is 60^0

Show that the triangle, the coordinates of whose verticles are given by integers, can never be an equilateral triangle.

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

Is it possible to have triangle, in which Two of the angles are right? Two of the angles are obtuse? Two of the angles are acute? Each angle is less than 60^0? Each angle is greater than 60^0? Each angle is equal to 60^0? Give reason in support of your answer in each case.

One and only one straight line can be drawn passing through two given points and we can draw only one triangle through non-collinear points. By integral coordinates (x,y) of a point we mean both x and y as integers . The number of points in the cartesian plane with integral coordinates satisfying the inequalities |x|le 4 , |y| le 4 and |x-y| le 4 is

The exterior angle of a triangle is 105^(@) and one of the interior opposite angles is 60^(@) . Find the other two angles.

Which one of the following molecules has a coordinate bond