Pythagorean theorem: find the length of a side of a square with a diagonal length of 12

The answer to your question is the length of a side = 6

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

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