In a right triangle with legs 9 and 12, what is the hypotenuse?

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Multiple Choice

In a right triangle with legs 9 and 12, what is the hypotenuse?

Explanation:
In a right triangle, the hypotenuse is the longest side opposite the right angle, and its length comes from the Pythagorean theorem: c^2 = a^2 + b^2. Here, the legs are 9 and 12, so c^2 = 9^2 + 12^2 = 81 + 144 = 225, giving c = sqrt(225) = 15. So the hypotenuse is 15. The other numbers don’t fit because 9 and 12 are the legs, not the hypotenuse, and 13 would only be the hypotenuse for a different pair of legs (like 5 and 12).

In a right triangle, the hypotenuse is the longest side opposite the right angle, and its length comes from the Pythagorean theorem: c^2 = a^2 + b^2. Here, the legs are 9 and 12, so c^2 = 9^2 + 12^2 = 81 + 144 = 225, giving c = sqrt(225) = 15. So the hypotenuse is 15. The other numbers don’t fit because 9 and 12 are the legs, not the hypotenuse, and 13 would only be the hypotenuse for a different pair of legs (like 5 and 12).

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