Question

The diagonals of a rhombus are in the ratio 3 : 4.If its perimeter is 60 cm, find the lengths of

the sides and diagonals of the rhombus.​

Answer 1

Answer:-

ANSWER

R.E.F image

Let the sides of rhombus be a

and diagonals be d

1

and d

2

perimeter =40cm

4a=40cm

a=10cm

Ratio of diagonals=3:4

d

2

d

1

=

4

3

d

1

=

4

3d

2

...(1)

Now,

a

2

=

4

d

1

2

+

4

d

2

2

d

1

2

+d

2

2

=4a

2

16

9d

2

2

+d

2

2

=4(10)

2

16

25d

2

2

=400

Square Rooting both sides

4

5d

2

=20

d

2

=16

put d

2

=16 in equation ...(1)

d

1

=12