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

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Multiple Choice

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

Explanation:
In a right triangle, the length of the hypotenuse is found with the Pythagorean relation: the square of the hypotenuse equals the sum of the squares of the two legs. So with legs 3 cm and 4 cm, the hypotenuse c is c^2 = 3^2 + 4^2 = 9 + 16 = 25, giving c = sqrt(25) = 5 cm. The hypotenuse is the longest side, and 5 cm fits that role. This is the classic 3-4-5 triangle, a well-known Pythagorean triple.

In a right triangle, the length of the hypotenuse is found with the Pythagorean relation: the square of the hypotenuse equals the sum of the squares of the two legs. So with legs 3 cm and 4 cm, the hypotenuse c is c^2 = 3^2 + 4^2 = 9 + 16 = 25, giving c = sqrt(25) = 5 cm. The hypotenuse is the longest side, and 5 cm fits that role. This is the classic 3-4-5 triangle, a well-known Pythagorean triple.

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