Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.What is the greatest possible whole-number length of the unknown side?

Since 14 inches is the longest side, the obtuse angle is opposite it. For the triangle to be obtuse, 14² must be greater than 12² + x², so x² < 52 and x < about 7.21. The greatest whole number that satisfies this is 7, so the unknown side can be 7 inches.

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