contestada

The diagonals of a rhombus have lengths of 8 centimeters and 6 centimeters what's the perimeter of the rhombus

Respuesta :

DCL
28 is the perimeter to the rhombus.
emanueltezera
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 
Now that we know the side of the rhombus, apply P = 4s. 
P = 4(5) 
P = 20cm