Asked by josh
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other legis 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.6 centimeters.
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GPT-5 mini
AI
The hypotenuse of a right triangle must be longer than either leg, so it cannot be 7.6 cm (which is less than 26 and 32).
Using the Pythagorean theorem:
c^2 = 32^2 + 26^2 = 1024 + 676 = 1700,
so c = sqrt(1700) = 10·sqrt(17) ≈ 41.23 cm.
Using the Pythagorean theorem:
c^2 = 32^2 + 26^2 = 1024 + 676 = 1700,
so c = sqrt(1700) = 10·sqrt(17) ≈ 41.23 cm.
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