A right triangle with legs 3 and 4 has hypotenuse of ______.

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Multiple Choice

A right triangle with legs 3 and 4 has hypotenuse of ______.

Explanation:
In a right triangle, the hypotenuse is found using the Pythagorean relation: the hypotenuse squared equals the sum of the squares of the legs. With legs 3 and 4, compute 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, so the hypotenuse length is 5. The other options don’t fit because 4 would be a leg, and 6 or 7 would imply a different sum of squares (36 or 49) not equal to 25.

In a right triangle, the hypotenuse is found using the Pythagorean relation: the hypotenuse squared equals the sum of the squares of the legs. With legs 3 and 4, compute 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, so the hypotenuse length is 5. The other options don’t fit because 4 would be a leg, and 6 or 7 would imply a different sum of squares (36 or 49) not equal to 25.

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