Please Help me Medal/Fan
Matt 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 19 inches. The length of the diagonal of the floor of the room in the plan is approximately 20.62 inches.

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

Question

Please Help me Medal/Fan
Matt 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 19 inches. The length of the diagonal of the floor of the room in the plan is approximately 20.62 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

danjs · Answer

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danjs · Answer

Determine if X is also 19 using 20.62^2 = 19^2 + x^2

anonymous · Answer

oh am I suppose to use the 
Pythagorean Theorem?

danjs · Answer

right, they tell you the diagonal (hypotenuse) length, and one of the wall (leg) lengths. Calculate the other leg and check if it is also 19 or not.

anonymous · Answer

Its not 19 its 64.1844 according to my calculator

danjs · Answer

$$x=\sqrt{20.62^2-19^2} = \sqrt{64.18}\approx8$$

danjs · Answer

The room is not square. It is roughly 19 by 8

anonymous · Answer

So its not a square?

anonymous · Answer

Oh ok thank you for your help