The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is ______.

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The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is 13 cm. Explanation: The diagonals of a rhombus bisect each other at right angles, so the half-lengths are $\frac{24}{2}$ = 12 and $\frac{10}{2}$ = 5. Each side is the hypotenuse of a right triangle with legs 12 and 5, so side = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13 cm

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