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?(1 point)Responses, yes, because the table is 9.49 ft. long.Yes, because the table is 9.49 ft. long.No, because the table is 11.4 ft. long.No, because the table is 11.4 ft. long.Yes, because the table is 6 ft. long.Yes, because the table is 6 ft. long.There is not enough information to answer the question.
To determine whether the tablecloth will fit the table, we need to compare the length of the tablecloth to the length of the table.
Since the diagonal of the table is 10.5 ft and one side is 4.5 ft, we can use the Pythagorean Theorem to find the length of the table. Let's call the length of the table x.
Using the Pythagorean Theorem:
x^2 + 4.5^2 = 10.5^2
x^2 + 20.25 = 110.25
x^2 = 90
x = √90
x ≈ 9.49 ft
Therefore, the table is approximately 9.49 ft long.
Since the tablecloth is 10 ft long and the table is 9.49 ft long, the tablecloth will not fit the table.
The correct answer is: No, because the table is 9.49 ft. long.