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.

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