Option F. 4√2
Using the properties of 45-45-90 triangles
8=x*sqrt(2)
4sqrt(2)=x
The Pythagorean theorem states that in a right triangle, a² + b² = c².
Half of the square is a right triangle as it is cut in the image.
The hypotenuse is 2, which is c.
It is a square, so a = b.
Let's say that s is a just for the sake of the equation.
a² + b² = 4.
4 ÷ 2 = a² = 2
Find the square root of a² and 2. 2 is not a square number so it must stay in radical form.
So, the length of s is √2.
What is the Pythagorean Theorem in simple terms?
A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Learn more about the Pythagorean Theorem at
https://brainly.com/question/654982
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