14. The lengths of the diagonals of a rhombus is

Solution:

Let ABCD be a rhombus and AC and BD be the diagonals of ABCD.

So, AC =

   

 

   

We know that diagonals of a rhombus bisect each other at right angle. (Perpendicular to each other)

So,

   

    

   

In ∆AOB, by Pythagoras theorem, we have

   

                                                       

   

Since, the sides of rhombus are all equal.

Therefore, AB = BC = CD = AD =