Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the approximate diagonal length of the table top? Round to the nearest tenth.

8.5 ft = length of diagonal

Step-by-step explanation:

If A = 36 ft^2, then s (length of one side) = 6 ft.

The diagonal and any one side create a 45 degree angle.  

sin 45 degrees = (length of side opposite the 45 degree angle)/hypotenuse

                                                          6 ft            6√2 ft          

Then (length of hypotenuse) = =

                                                      sin 45 deg            1

This works out to 8.5 ft = length of diagonal

step-by-step explanation:

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