In a right triangle with legs 6 and 8, what is the length of the hypotenuse?

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Multiple Choice

In a right triangle with legs 6 and 8, what is the length of the hypotenuse?

Explanation:
In a right triangle, the hypotenuse length follows the Pythagorean relationship: c^2 = a^2 + b^2, where a and b are the legs. Here, 6^2 + 8^2 = 36 + 64 = 100, so c = sqrt(100) = 10. So the hypotenuse measures 10. This is also the 6-8-10 triple, a scaled version of 3-4-5. The other options wouldn’t satisfy the equation because their squares don’t add up to the required total.

In a right triangle, the hypotenuse length follows the Pythagorean relationship: c^2 = a^2 + b^2, where a and b are the legs. Here, 6^2 + 8^2 = 36 + 64 = 100, so c = sqrt(100) = 10. So the hypotenuse measures 10. This is also the 6-8-10 triple, a scaled version of 3-4-5. The other options wouldn’t satisfy the equation because their squares don’t add up to the required total.

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