What is the length of the hypotenuse of a right triangle with legs 3 and 4?

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Multiple Choice

What is the length of the hypotenuse of a right triangle with legs 3 and 4?

Explanation:
In a right triangle, the hypotenuse length comes from the Pythagorean theorem: the square of the hypotenuse equals the sum of the squares of the legs. With legs 3 and 4, you get c^2 = 3^2 + 4^2 = 9 + 16 = 25, so c = sqrt(25) = 5. The hypotenuse is the longest side, so it must be larger than both legs, which 5 is. This 3-4-5 triangle is a classic Pythagorean triple, making 5 the correct, consistent length.

In a right triangle, the hypotenuse length comes from the Pythagorean theorem: the square of the hypotenuse equals the sum of the squares of the legs. With legs 3 and 4, you get c^2 = 3^2 + 4^2 = 9 + 16 = 25, so c = sqrt(25) = 5. The hypotenuse is the longest side, so it must be larger than both legs, which 5 is. This 3-4-5 triangle is a classic Pythagorean triple, making 5 the correct, consistent length.

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