Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

Question

Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

anonymous · Answer

Using the Pythagorean theorem, the hypotenuse should be the 18.79 and one of the legs would be 17 inches

anonymous · Answer

18.79^2=353.0641 and 17^2=289

anonymous · Answer

353.0641-289 would equal 64.0641

anonymous · Answer

64.0641 squared would be 8