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
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.
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