Here, the length of side s of the given square is 3√2.
What is Pythagorean Theorem?
According to the Pythagorean Theorem, the square's area on the hypotenuse side is equal to the sum of the squares' areas on the other two sides.
How to solve it?
Here, we have to find the length of the side of the triangle inside the square with hypotenuse 6.
Let us assume that the length of the side of the triangle be x.
Using the Pythagorean Theorem,
x² + x² = 6²
i.e. 2x² = 36
i.e. x² = 36/2 = 18 = 2 * 3 * 3
i.e. x = 3√2
Therefore the length of side s of the given square is 3√2. So, option E is correct.
Learn more about the Pythagorean Theorem here -
https://brainly.com/question/9222281
#SPJ2
