Question

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

What is the smallest possible whole-number length of the unknown side?

Answer 1

The smallest possible whole-number length of the unknown side is 17 inches.

What is the Pythagoras theorem?

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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