Prove that the area of a rhombus is equal to half of the product of the diagonals.

Prove that the area of a rhombus is half the area of the rectangle produced by the diagonals of the rhombus.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals

Prove that a cyclic rhombus is a square

Prove that all the lines having the sum of the interceps on the axes equal to half of the product of the intercepts pass through the point. Find the fixed point.

Prove that the sum of the areas of the squares drawn on the sides of a rhombus is equal to the sum of the areas of two squares drawn on the diagonals of the given square.

This displacement of a particle during its motion is equal to half of the product of its instantaneous velocity and time. Show that the particle moves with a constant acceleration.

If the half total surface area of the cuboid is equal to the square of the length of its diagonal, then prove that the cuboid is cube.

prove that the diagonals of a rhombus are perpendicular to each other.

Prove that the quadrilateral formed by joining the mid-points successively of any quadrilateral is also a parallelogram. Also, prove that the perimeter of that parallelogram is equal to the sum of that quadrilateral's diagonals.

Prove that the area of a trapezium is half the sum of the parallel sides multiplied by the distance between them.