In a right triangle, the legs have lengths 6 and 8. What is the length of the hypotenuse?

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Multiple Choice

In a right triangle, the legs have lengths 6 and 8. What is the length of the hypotenuse?

Explanation:
In a right triangle, the side opposite the right angle, the hypotenuse, satisfies that its square equals the sum of the squares of the other two legs. So with legs 6 and 8, compute 6^2 + 8^2 = 36 + 64 = 100. The hypotenuse is the square root of 100, which is 10. This result also appears as the familiar 6-8-10 triangle, a multiple of the 3-4-5 triple. The other options would not fit the sum of squares required by the legs 6 and 8.

In a right triangle, the side opposite the right angle, the hypotenuse, satisfies that its square equals the sum of the squares of the other two legs. So with legs 6 and 8, compute 6^2 + 8^2 = 36 + 64 = 100. The hypotenuse is the square root of 100, which is 10. This result also appears as the familiar 6-8-10 triangle, a multiple of the 3-4-5 triple. The other options would not fit the sum of squares required by the legs 6 and 8.

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