Question

The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Find the length of each side of the rhombus.​

Answer 1

Step-by-step explanation:

Let the rhombus is ABCD, given that :

AC=24cm and BD=18cm.

Let the Diagonal of Rhombus bisect each other at right angles.

AO=OC= 12

and OB = OD =9 cm

Let ∠AOD=90 degeree

In right ΔAOD,

AO= 12 cm and OD=9 cm

Using phythagoras theorem,

AD

2

=AO

2

+OD

2

AD

2

=(12)

2

+(9)

2

AD=15 cm

Hence the all side of rhombus are equal

Hence the each side of the rhombus is 15cm.