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

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

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

Explanation:
In a right triangle, the longest side opposite the right angle (the hypotenuse) satisfies the Pythagorean theorem: the sum of the squares of the legs equals the square of the hypotenuse. 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 triangle is a classic 6-8-10 Pythagorean triple. Therefore, the length of the hypotenuse is 10.

In a right triangle, the longest side opposite the right angle (the hypotenuse) satisfies the Pythagorean theorem: the sum of the squares of the legs equals the square of the hypotenuse. 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 triangle is a classic 6-8-10 Pythagorean triple. Therefore, the length of the hypotenuse is 10.

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