Solution: The cosine of \(45^\circ\) is given by \(\cos 45^\circ = \frac{\sqrt{2}}{2}\). For a square with side length \(s = 7\) units, the length of the diagonal \(d\) can be calculated using the Pythagorean theorem: \(d = s\sqrt{2}\). Substituting the value of \(s\), we get \(d = 7\sqrt{2}\). Therefore, the length of the diagonal is \(\boxed{7\sqrt{2}}\).

Mon, 04 May 2026 11:10:35 +0000

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