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28 April, 18:48

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

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  1. 28 April, 21:09
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    28 is the perimeter to the rhombus.
  2. 28 April, 21:19
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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
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