PCC Level 1 Practice Test

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In a right triangle, legs 5 and 12, hypotenuse?
Correct Answer:
13
Explanation:
Pythagorean theorem applies: in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. With legs 5 and 12, the hypotenuse satisfies c^2 = 5^2 + 12^2 = 25 + 144 = 169, so c = sqrt(169) = 13. The hypotenuse is the longest side, opposite the right angle, which matches 13 being longer than 5 and 12. The other options don’t fit: 12 is a leg, and 10 or 11 don’t satisfy the Pythagorean relationship with the given legs.

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