Prove that the sum of the sides of a quadrilateral is greater than twice of one of its diagonal.

Prove that the perimeter of any quadrilateral is greater than the sum of the diagonals.

Prove that the sum of any two sides of a triangle is greater than twice the median drawn to the third side.

Prove that the sum of any two sides of a triangle is greater than two times the median of third side.

For any triangle, prove that the sum of the sides of the triangle is greater than the sum of the medians of the triangle.

The sum of ny two sides of a triangle is greater than third side.

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

Property The sum of any two sides of a triangle is greater than the third side.

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.