Answer:
The answer to your question is the length of a side = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Data
Square with a diagonal of 12
In a square the legs measure the same so, leg = x
Process
1. Write the Pythagorean theorem
c² = a² + b²
2.- Substitute values
12² = x² + x²
3.- Simplify
144 = 2x²
144/2 = x²
72 = x²
x = √72
4.- Result
x = 6√2
