SOLUTION: The diagonal of the floor of a square room is 6 meters. What is the length of a side of the room? Round to the nearest tenth.

Question 972851: The diagonal of the floor of a square room is 6 meters.
What is the length of a side of the room? Round to the nearest tenth.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
squares with side s have diagonals of s sqrt(2). This is the Pythagorean theorem with angles 90-45-45. it is sqrt(2)-1-1 ratio.
Therefore, a diagonal of 6 has a side of 6/sqrt(2). Units are meters
rationalizing by multiplying top and bottom by sqrt (2), 6 sqrt (2)/2
That is 3 sqrt (2)=4.2 meters
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