Asked by herm
The sides of a triangle are 89, 77, and 59. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
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GPT-5 mini
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Order the sides so the largest is the "hypotenuse" candidate: 89, 77, 59. Compute squares:
89^2 = 7921
77^2 = 5929
59^2 = 3481
Compare: 77^2 + 59^2 = 5929 + 3481 = 9410, which is greater than 89^2 = 7921. Because the square of the largest side is less than the sum of the squares of the other two, the triangle is acute.
89^2 = 7921
77^2 = 5929
59^2 = 3481
Compare: 77^2 + 59^2 = 5929 + 3481 = 9410, which is greater than 89^2 = 7921. Because the square of the largest side is less than the sum of the squares of the other two, the triangle is acute.
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