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.

christiannewsom · Answer

please help

christiannewsom · Answer

how do you find the answer i just need to know how to set it up and what to do

christiannewsom · Answer

ill medal and fan

acannell · Answer

The room is not a square.
Using Pythagorean Theorem, a^2 + b^2 = c^2; we have the 'a' and the 'c'. If 'b' is the same as 'a', then it would be a square.
17^2 + b^2 = 18.79^2
289 + b^2 = 353
-289 -289
b^2 = 64
b = 8
It is not a square
The dimensions are 8 x 17

christiannewsom · Answer

sorta thankyou

acannell · Answer

Sorry i keep confusing myself lol im making the question more hard than it actually is.

christiannewsom · Answer

lol its okay i understand it better because you said the Pythagorean theorem

acannell · Answer

Yea. Is it weird that i know this stuff and im in 7th grade???

christiannewsom · Answer

lol thanks

acannell · Answer

Your welcome!!! :) Hope i helped!!