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.

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11-05-2018
Mathematics

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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.

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mkryukova19 mkryukova19 · Answer 1 · 2018-05-14T07:56:56+02:00

mkryukova19 mkryukova19

14-05-2018

Side of the room = x.
From the right triangle, where sides of the square are legs of the right triangle, and the diagonal of the square is a hypotenuse of the right triangle.
x²+x²=6²
2x²=36
x²=18
x=√18 =√(2*9)=3√2≈4.2m

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