Question

the diagonals of a rhombus are 6 cm and 8 cm . find the length of each side of rhombus.

Answer 1

Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus. 

Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus. 

We need to find the side of the rhombus using the Pythagorean Theorem. 
After that, we use the formula P = 4s to find your perimeter. 

Let s = side of rhombus. 
3^2 + 4^2 = s^2 
9 + 16 = s^2 
25 = s^2 
5 = s 

Therefore,
The side of rhombus is 5cm☺️✌️

Answer 2

D1 = 6 cm

D2 = 8 cm

Side of rhombus = sqrt [ (D1 /2)^2 + (D2 / 2)^2]

= sqrt [ (6/2)^2 + (8/2)^2]

= sqrt [ 3^2 + 4^2]

= sqrt ( 9 + 16)

= sqrt (25)

= 5 cm

Side of rhombus = 5 cm