The smallest possible whole-number length of the unknown side is 17 inches.
<h3>What is the Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
From the information given, the sides of an obtuse triangle measure 9 inches and 14 inches.
Therefore, the third side will be:
c² = 9² + 14²
c² = 81 + 196
c² = 277
c = ✓277
c = 16.64
c = 17
Hence, the smallest possible whole-number length of the unknown side is 17 inches.
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