What is the hypotenuse of a right triangle with legs 6 and 8?

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Multiple Choice

What is the hypotenuse of a right triangle with legs 6 and 8?

Explanation:
In a right triangle, the relationship is that the square of the hypotenuse equals the sum of the squares of the legs. With legs 6 and 8, the hypotenuse satisfies c^2 = 6^2 + 8^2 = 36 + 64 = 100, so c = sqrt(100) = 10. The hypotenuse is the longest side, opposite the right angle, which is why it comes out as 10. This 6-8-10 triangle is a common Pythagorean triple. The other options don’t fit because they don’t satisfy c^2 = 6^2 + 8^2.

In a right triangle, the relationship is that the square of the hypotenuse equals the sum of the squares of the legs. With legs 6 and 8, the hypotenuse satisfies c^2 = 6^2 + 8^2 = 36 + 64 = 100, so c = sqrt(100) = 10. The hypotenuse is the longest side, opposite the right angle, which is why it comes out as 10. This 6-8-10 triangle is a common Pythagorean triple. The other options don’t fit because they don’t satisfy c^2 = 6^2 + 8^2.

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