Prove that the medians of an equilateral triangle are equal.

Show that the angles of an equilateral 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.

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.

Three particles with equal mass move with equal speed v along the medians of an equilateral triangle as shown. They all collide at the centroid simultaneously. After the collision. A comes to rest, B retraces it's path with same speed. What is speed of C after the collision?

Three poistive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in

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.

Prove that three times the square of any side of an equilateral triangle is equal to four times the square of the altitude.

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is ……..

consider three charges q_(1),q_(2),q_(3) each equal to q at the vertices of an equilateral triangle of side l what is the force on a charge Q placed at the centroid of the triangle