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question 1 of 25 what is the length of side s of the square shown below…

Question

question 1 of 25 what is the length of side s of the square shown below? a. 1 b. $sqrt{2}$ c. 2 d. $2sqrt{2}$ e. 4 f. $4sqrt{2}$

Explanation:

Step1: Relate diagonal and side of square

For square, diagonal \( d = s\sqrt{2} \)

Step2: Substitute diagonal value

Given \( d = 2 \), so \( 2 = s\sqrt{2} \)

Step3: Solve for side length \( s \)

\( s = \frac{2}{\sqrt{2}} = \sqrt{2} \)

Answer:

B. √2