Question

the length of diagonals of a rhombus are 2a and 4a respectively then the length of each side of a rhombus is​

Answer 1

Answer:

ANSWER

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

∘

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.

Answer 2

Step-by-step explanation:

ANSWER

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∘

In right  ΔAOD,

AO= 12 cm and OD=9 cm 

Using phythagoras theorem, 

AD2=AO2+OD2

AD2=(12)2+(9)2

AD=15 cm 

Hence the all side of rhombus are equal

Hence the each side of the rhombus is 15cm.