We rely on the Pythagorean theorem, where the ratio of the diagonal is:
Diagonal² = Side² + Side²
Diagonal² = 2Side²
The diagonal measures 10 centimeters:
10² = 2Side²
100 = 2Side²
100/2 = Side²
50 = Side²
We eliminate the squared expression by applying a square root:
Side = √50cm
Side = 5√2cm
Side = 7.07 cm
Answer: The side of the square is 7.07 centimeters. ✅