Math, asked by AKMCHA545, 1 year ago

Length diagonals of rhombus are in ratio 6:8 if it's perimeter is 40 cm. Find the length of the shorter diagonal

Answers

Answered by abhi569
13
As we know that the perimeter of rhombus = 4*side

40 = 4*side

40/4 = side

10 = side

Now,

by pythagoras theorem,

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


9x^2 +16x^2 = 100

25x^2 = 100

x^2 = 100/25

x^2= 4


x= 2 

Now,

length of diagonals is
 6*2 = 12cm

and 

8*2 = 16cm

i hope this will help you

-by ABHAY

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abhi569: YOUR WELCOME
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