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

Prove that the medians of an equilateral triangle are equal.

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

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

Show that the following points form an equilateral triangle A(a, 0), B(-a, 0), C(0, a sqrt(3))

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

What is the area of an equilateral triangle inscribed in a circle of radius 4cm?

Three particles, each of mass m and carrying a charge q each, are suspended from a common point by insulating mass-less strings each of length L. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side a, calculate the charge q on each particle. Assume Lgtgta .

Draw an equilateral triangle whose sides are 5.2 cm. each

Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5m long.