Question

question 7 of 10 what is the length of side s of the square shown below? a. 2\sqrt{2} b. 4\sqrt{2} c. 1 d. 4 e. 2 f. \sqrt{2}

Explanation:

Step1: Apply Pythagorean theorem for square.

In a square with side length $s$ and diagonal $d$, $d^{2}=s^{2}+s^{2}=2s^{2}$. Given $d = 2$, so $2^{2}=2s^{2}$.

Step2: Solve for $s$.

$4 = 2s^{2}$, then $s^{2}=2$, and $s=\sqrt{2}$.

Answer:

F. $\sqrt{2}$