Question

THE LENGTHS OF DIAGONAL OF RHOMBUS ARE IN RATIO 6:8 IF ITS PERIMETER IS 40 CM FIND THE LENGTH OF THE SHORTER DIAGONAL

Answer 1

As we know that the perimeter of rhombus = 4*side

Here,

40 = 4*side

40/4 = side

10 side

then,

Let the length of diagonals be 6x and 8x

by pythagoras theorem,

10^2 = (6x/2)^2 +(8x/2)^2

100 = 9x^2 + 16x^2

100 = 25x^2

100/25 = x^2

4  = x^2

2= x

Now,

length of diagonals is:-

6*2 =12cm

and

8*2 =16cm



Length of shorter diagonal is 6x i.e. 12cm 


i hope this will help you

-by ABHAY

Answer 2

Answer:

ia it correct

Step-by-step explanation:

is it correct?