Answer:
s = √2
Explanation:
This is a 45-45-90 right angle.
All sides of this square have length s.
Use the Pythagorean Theorem to write an expression for s².
s² + s² = 2², or
2s² = 2²
Reduce this by dividing both sides by 2:
s² = 2
Taking the square root of both sides yields s = √2
The side length is s = √2. All sides have this single length.