HELP JUST CHECK THIS! WILL MEDAL

Question

milo123 · Answer

HELP JUST CHECK THIS!

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.
________________________________________
Pythagorean Theorem:   a^2+b^2=c^2

The diagonal is the hypotenuse, so if 19^2+19^2=20.62^2 calculates correctly, then it will be a square. 

9^2+19^2= 722
The square root of 722 is about 26.87

When you calculate this, you will discover that it is not true. So, the room is not square; the other side is not 19.

The room is not square. It is about 19 inches by 8 inches.

milo123 · Answer

@mathmate can you please check this:)

tkhunny · Answer

I would have preferred if you had not written the speculative "19^2+19^2=20.62^2", but that is my only objection.  It is only a style consideration.  Looks good.

milo123 · Answer

ok thanks