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To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. For a rectangle with lengths of 10 cm and 15 cm, the diagonal (d) can be calculated as (d = \sqrt{10^2 + 15^2}). This simplifies to (d = \sqrt{100 + 225} = \sqrt{325}), which is approximately 18.03 cm. Thus, the length of the diagonal is about 18.03 centimeters.

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