In a right triangle with legs 3 and 4, what is the length of the hypotenuse?

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Multiple Choice

In a right triangle with legs 3 and 4, what is the length of the hypotenuse?

Explanation:
In a right triangle, the hypotenuse length comes from the Pythagorean relationship: the square of the hypotenuse equals the sum of the squares of the two legs. For legs 3 and 4, 3^2 + 4^2 = 9 + 16 = 25, and the hypotenuse is the square root of that, so sqrt(25) = 5. The hypotenuse is the longest side, which matches 5 being bigger than both 3 and 4. So the hypotenuse length is 5. The other numbers would either be the leg lengths or an incorrect result from the same calculation (they don’t come from taking the square root of 25).

In a right triangle, the hypotenuse length comes from the Pythagorean relationship: the square of the hypotenuse equals the sum of the squares of the two legs. For legs 3 and 4, 3^2 + 4^2 = 9 + 16 = 25, and the hypotenuse is the square root of that, so sqrt(25) = 5. The hypotenuse is the longest side, which matches 5 being bigger than both 3 and 4. So the hypotenuse length is 5. The other numbers would either be the leg lengths or an incorrect result from the same calculation (they don’t come from taking the square root of 25).

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