A right triangle has legs 3 and 4. What is the length of the hypotenuse?

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Multiple Choice

A right triangle has legs 3 and 4. What is the length of the hypotenuse?

Explanation:
In a right triangle, the longest side opposite the right angle is found using the Pythagorean theorem: the square of the hypotenuse 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 25, which is 5. This is a classic 3-4-5 triangle, so the length of the hypotenuse is 5.

In a right triangle, the longest side opposite the right angle is found using the Pythagorean theorem: the square of the hypotenuse 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 25, which is 5. This is a classic 3-4-5 triangle, so the length of the hypotenuse is 5.

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