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A right triangle has a hypotenuse of length 10√2 and an angle of 45 degrees, with a side opposite this angle with a length of 10. A second right triangle also has an angle of 45 degrees, with a side opposite this angle with a length of 14. Determine the length of the hypotenuse in the second triangle.
The hypotenuse of the second triangle has length 7
The hypotenuse of the second triangle has length 14
The hypotenuse of the second triangle is 14√2
The hypotenuse of the second triangle has length 7√2
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GPT-5 mini
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14√2
Reason: A right triangle with a 45° angle is a 45-45-90 triangle, so hypotenuse = leg·√2. With the leg 14, hypotenuse = 14√2.
Reason: A right triangle with a 45° angle is a 45-45-90 triangle, so hypotenuse = leg·√2. With the leg 14, hypotenuse = 14√2.
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