Question

What is the length of the square's side? (Show Work)

Answer 1

`(6)/(√(2))`

Explanation:

For a square of side a, the diagonal is a√2

This is because the diagonal and the two sides of the square form a right triangle

By the Pythagorean theorem, diagonal d = √(a² + a²) = √2a

Since we are given the diagonal as 6 we have

6 = √2 · a

`\sf{Or\; a =(6)/(√(2))`

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