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.
Yes, because the table is 9.49 ft. long.
To determine if the tablecloth will fit the table, we need to calculate the length of the longer side of the table.
Using the Pythagorean Theorem, we can calculate the length of the longer side as follows:
a^2 + b^2 = c^2
(4.5ft)^2 + b^2 = (10.5ft)^2
20.25ft + b^2 = 110.25ft
b^2 = 110.25ft - 20.25ft
b^2 = 90ft
b = √90ft
b ≈ 9.49ft
Since the length of the longer side of the table is approximately 9.49ft, which is less than the length of the tablecloth (10ft), the tablecloth will fit the table.