Question

Pythagorean Theorem: Find the length of a side of a square with a diagonal length of 12​

Answer 1

The answer to your question is the length of a side = 6
`√(2)`

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