Question

what is the length of the diagonal of the square shown below? a. $7\sqrt{7}$ b. $\sqrt{7}$ c. $7\sqrt{2}$ d. 49 e. 7 f. $\sqrt{14}$

Explanation:

Step1: Identify square side length

The square has side length $s=7$.

Step2: Apply Pythagorean theorem

For a square, diagonal $d$ satisfies $d^2 = s^2 + s^2$.
$d^2 = 7^2 + 7^2 = 49 + 49 = 98$

Step3: Solve for diagonal length

$d = \sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}$

Answer:

C. $7\sqrt{2}$