Let's call the length of one side of the square "x".
According to the Pythagorean theorem, the length of the diagonal of a square with side length x is given by √(x^2 + x^2) = √(2x^2) = x√2.
Since the length of the diagonal is given as 7 inches, we have the equation x√2 = 7.
To find the actual length, we can isolate x by dividing both sides of the equation by √2: x = 7 / √2.
Rationalizing the denominator (multiplying by √2/√2), we get x = 7√2 / 2.
To the nearest whole number, the length of the diagonal of the square would be the nearest whole number to x, which is 3.
Therefore, the actual length, in inches, of the diagonal of the square could be 3 inches.
to the nearest whole number, the length of the diagonal of a square is 7 inches. which measure could be the actual length, in inches, of the diagonal of the square?
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