Can someone show me how to set up and solve this problem? If a sqare room has a diagonal measurement of 38 feet, the sides of the room have a lenth of?

Asked on by micabu11

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tiburtius's profile pic

tiburtius | High School Teacher | (Level 2) Educator

Posted on

Length of diagonal of a square is given by following formula


where `a` is the length of the side of the square.


divide both sides by `sqrt2.`


Sides of the room have length of `38/sqrt2` feet. 

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michuraisin | Student, College Junior | (Level 1) Salutatorian

Posted on

For this problem, think of the square room as two right triangles. That way, you could use the pythagorean theorem of a^2+b^2=c^2, with c being the length of the diagonal, and a and b the length of the sides.




Since the room is a square, both a and b will be equal, so we can just use the variable x to represent the two sides.





The sides of the room have a length of 26.87 feet.

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