The length of one side of the square with diagonal 15 cm is approximately 10.6 centimeters.
To find the length of one side of the square, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle.
In this case, the diagonal of the square forms the hypotenuse of a right triangle with two sides that are the same length, which are the sides of the square.
Let's call the length of one side of the square
centimeters.
We can set up the following equation using the Pythagorean theorem:
Now, we'll solve for
:
Divide both sides by 2:
Now, take the square root of both sides to solve for
: