SOLUTION: The diagonals of a rhombus are 6 cm and 8 cm. What is the perimeter of the rhombus?

Question 298475: The diagonals of a rhombus are 6 cm and 8 cm. What is the perimeter of the rhombus?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
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

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