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

User Zevij
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2 Answers

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28 is the perimeter to the rhombus.
User Brian Voelker
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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
User Ckarbass
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