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

Show that the angles of an equilateral triangle are 60^@ each.

Show that the angles of an triangle are 60^(@) each.

Show that in a right angled triangle, the hypotenuse is the longest side.

Three equal masses of 1 kg each are placed at the vertices of an equilateral Delta PQR and a mass of 2kg is placed at the centroid O of the triangle which is at a distance of sqrt(2) m from each the verticles of the triangle. Find the force (in newton) acting on the mass of 2 kg.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

An equilateral triangle has one vertex at (0, 0) and another at (3, sqrt(3)) . What are the coordinates of the third vertex ?

An equilateral triangle has one vertex at (3, 4) and another at (-2, 3). Find the coordinates of the third vertex.

Show that the area of an Issosceles triangle is A = a^(2) theta Sin Cos theta where a is the length of one of the two equal sides and theta is the measure of one oftwo equal angles

A rhombus has each side of length 20 cm and one pair of opposite angles 60^(@) each. Find the length of its diagonals.

If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.