Question

The door frame has measurements of 3ft by 8 ft. What is the length of the largest table that can be brought in the house on a diagonal? Round to the nearest tenth.

Answer 1

Explanation:

Alright, lets get started.

The height of the door is 8 feet.

The width of the door is 3 feet.

The largest size of the table that can be brought in this house from this given door is diagonally from this door.

So, lets find the diagonal of this door.

If we apply Pythagorean theorem ,

`c^2=a^2+b^2`

`c^2=3^2+8^2`

`c^2=9+64=73`

taking square root on both sides

`c=√(73)=8.5`

So, the maximum length of the table would be 8.5 feet. : Answer

Hope it will help :)

Answer 2

The length of the largest table that can be brought in the house on a diagonal is
`9.5\ ft`

Explanation:

we know that

Applying the Pythagoras Theorem

Find the length of the diagonal of the frame

`d^(2) =3^(2) +8^(2) \\\\ d^(2)=90\\\\ d=√(90)\ ft\\\\ d=9.5\ ft`