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Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

Sagot :

Answer:

From the diagram we can see that the greatest distance is the diagonal

D

. We can find this distance using Pythagoras' theorem. If

D

is the hypotenuse of a right triangle, then by this theorem:

The square on the hypotenuse is equal to the sum of the squares of the other two sides:

D2=842+422

D2=7056+1764

D2=8820

D=√8820≈93.91485506 "

This is less than the diameter of the table, so the table will not pass through the door.