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The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Question

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

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Solution

To find the length of each side of the rhombus, we can use the formula for the diagonals of a rhombus, which states that the square of each side is equal to half the sum of the squares of the diagonals.

Step 1: Square the lengths of the diagonals. 16^2 = 256 cm^2 12^2 = 144 cm^2

Step 2: Add the squares of the diagonals. 256 cm^2 + 144 cm^2 = 400 cm^2

Step 3: Take the square root of the sum to find the length of each side. √400 cm^2 = 20 cm

So, the length of each side of the rhombus is 20 cm.

This problem has been solved

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