A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3. What is the approximate side length of the square?

3.0 units
3.5 units
4.2 units
4.9 units

Step-by-step explanation:

in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).

the diagonal is 3+3 = 6 units long.

let's call the square side length "s".

then we have via Pythagoras

6² = s² + s² = 2s²

36 = 2s²

18 = s²

s = 4.242640687 ≈ 4.2 units

step-by-step explanation:

most likely the answer is a.

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