The length of the side of a square whose diagonal is 15 can be calculated using the Pythagorean theorem. In a square, the diagonal splits the square into two right-angled triangles. The formula to calculate the length of the diagonal (d) in terms of the side length (s) is:
d = s√2
To find the side length, we can rearrange this formula:
s = d / √2
Given that the diagonal (d) is 15, we plug this value into the formula:
s = 15 / √2
Now, we’ll simplify this:
s = 15 / 1.4142 ≈ 10.606
Therefore, the length of each side of the square is approximately 10.61.