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A quadrilateral with sides measuring 7 inches, 5 inches, 9 inches, and 12 inches can exist as long as the sum of the lengths of any three sides is greater than the length of the fourth side, which is known as the triangle inequality theorem. In this case, checking the conditions reveals that 7 + 5 + 9 > 12, 7 + 5 + 12 > 9, 7 + 9 + 12 > 5, and 5 + 9 + 12 > 7 all hold true. Therefore, this quadrilateral is feasible and can be classified as a general quadrilateral without any specific properties like being a rectangle or square.

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1w ago

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