Question

The diagonals of a rhombus are in ratio 6:8. If it's perimeter is 100 cm, find the length of its shorter diagonal.?​

Answer 1

Answer:

R.E.F image 

Let the sides of rhombus be a

and diagonals be d1 and d2

perimeter =40cm

4a=40cm

a=10cm

Ratio of diagonals=3:4

d2d1=43

d1=43d2 ...(1)

Now,

a2=4d12+4d22

d12+d22=4a2

169d22+d22=4(10)2

1625d22=400

Square Rooting both sides

45d