Question

The diagonals of a parallelogram are not perpendicular to each other. Is it a rhombus? why? please solve it

Answer 1

No parallelogram is not a Rhombus but a rhombus is always a parallelogram and a parallelogram is not a rhombus as its opposite sides are equal whereas in Rhombus all sides should be equal

Answer 2

If the diagonals are not perpendiculars then it will not be a rhombus. In rhombus diagonals bisect each other orthogonaly(perpendicularly) More ever if diagonals bisect each other orthogonaly then each side of rhombus will be the hypotenues of right angled triangle whose sides containing right angles are same.