To determine the length of the side of a square when given its diagonal, we can use the relationship between the side length (
s) and the diagonal (d) of a square. This relationship is derived from the Pythagorean theorem:
Diagonal (d) = s × √2
Where:
- d is the length of the diagonal,
- s is the length of one side of the square.
In this case, the diagonal (d) is given as 15. We can rearrange the formula to solve for the side length (s):
s = d / √2
Now, substituting the value of d into the formula:
s = 15 / √2
To calculate this, we first need to find the value of √2, which is approximately 1.4142. Now, substituting this value into the equation:
s ≈ 15 / 1.4142
When we perform the division:
s ≈ 10.6066
Therefore, the length of each side of the square is approximately 10.61 (rounded to two decimal places).