Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.

Mathematics

1 answer:

shepuryov [24]2 years ago

7 0

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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