Question

ABCD is a parallelogram whose diagonals intersect each other at right angles.if the length of the diagonals is 6 cm and 8 cm. find the length of all the sides of parallelogram.

Answer 1

It's all sides are of 5 cm.
solution:-
Each rombus is a pallelogram
ABCD is a rombus because the diagonals of rombus bisect at 90 degree.
Now you can find its sides by Pythagoras theoem.

Answer 2

Answer:

5 cm

Step-by-step explanation::

We are given that ABCD is a parallelogram whose diagonals intersect each other at right angles

Length of diagonal 1 = 6 cm

Length of diagonal 2 = 8 cm

Since the diagonals bisect at right angles so, it is a rhombus

Diagonals bisect each other  

So, OA = OC = $\frac{1}{2}AC= 3$

 OB = OD= $\frac{1}{2}BD= 4$

So, In ΔAOD

$Hypotenuse^2=Perpendicular^2+Base^2$

$AD^2=OA^2+OD^2$

$AD^2=3^2+4^2$

$AD^2=3^2+4^2$

$AD=\sqrt{3^2+4^2}$

$AD=5$

So, All sides of rhombus are equal SO, The sides of given parallelogram is 5 cm each