Question

The diagonals of a rhombus is 16m and 12m.Find its perimeter​

Answer 1

Answer:

As the diagonals of a rhombus bisect each other at right angles, we have

AO=OC and BO=OD

⇒AO= 2/16

=8cm and BO= 2/12

=6cm

Now, in right △AOB

AB ^2=AO ^2+BO^ 2

⇒AB^ 2 =8^2+6 ^2

=64+36=100

⇒AB=10cm

Therefore, the side of rhombus =10cm