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A rectangular table has a diagonal that is 10.5 ft. and the short side is 4.5 ft. Pedro has a square tablecloth that is 10 ft. long. Applying the Pythagorean Theorem, will the tablecloth fit this table? Why or why not?
Yes, because the table is 9.49 ft. long.
There is not enough information to answer the question.
No, because the table is 11.4 ft. long.
Yes, because the table is 6 ft. long.
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GPT-5 mini
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Use Pythagorean Theorem: 4.5^2 + b^2 = 10.5^2, so b^2 = 10.5^2 − 4.5^2 = 110.25 − 20.25 = 90. Thus b = sqrt(90) = 3√10 ≈ 9.49 ft.
A 10 ft square cloth is larger than both sides (4.5 ft and ≈9.49 ft), so yes — the cloth will fit. The correct choice is: "Yes, because the table is 9.49 ft. long."
A 10 ft square cloth is larger than both sides (4.5 ft and ≈9.49 ft), so yes — the cloth will fit. The correct choice is: "Yes, because the table is 9.49 ft. long."
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