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

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Multiple Choice

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

Explanation:
In a right triangle, the hypotenuse length is found using the Pythagorean relation: the square of the hypotenuse equals the sum of the squares of the two legs. With legs 3 cm and 4 cm, compute 3^2 + 4^2 = 9 + 16 = 25. The hypotenuse is the square root of 25, which is 5 cm. This is the classic 3-4-5 triangle, where the hypotenuse length must satisfy c^2 = 25; any other value would not fit this relationship.

In a right triangle, the hypotenuse length is found using the Pythagorean relation: the square of the hypotenuse equals the sum of the squares of the two legs. With legs 3 cm and 4 cm, compute 3^2 + 4^2 = 9 + 16 = 25. The hypotenuse is the square root of 25, which is 5 cm. This is the classic 3-4-5 triangle, where the hypotenuse length must satisfy c^2 = 25; any other value would not fit this relationship.

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