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 squares of the legs add up to the square of the hypotenuse. With legs of 3 and 4, you get 3^2 + 4^2 = 9 + 16 = 25. The hypotenuse is the square root of that, sqrt(25) = 5. This is the classic 3-4-5 triangle. The other options would require the sum of the squares to be 36, 13, or 49, which doesn’t match the given legs.

In a right triangle, the hypotenuse length comes from the Pythagorean relationship: the squares of the legs add up to the square of the hypotenuse. With legs of 3 and 4, you get 3^2 + 4^2 = 9 + 16 = 25. The hypotenuse is the square root of that, sqrt(25) = 5. This is the classic 3-4-5 triangle. The other options would require the sum of the squares to be 36, 13, or 49, which doesn’t match the given legs.

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