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A rectangle is constructed with its base on the diameter of a semicircle with radius 29 and with its two other vertices on the semicircle.

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A rectangle is constructed with its base on the diameter of a semicircle with radius 29 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area? The rectangle with maximum area has length |:| units and height |:| units. (Type exact answers, using radicals as needed.)

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