Question

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?

Answer 1

NO.

Explanation:

From the diagram we can see that the greatest distance is the diagonal `bbD`. We can find this distance using Pythagoras' theorem. If `bbD` 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:

`D^2=84^2+42^2`

`D^2=7056+1764`

`D^2=8820`

`D=sqrt(8820)~~93.91485506`"

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