Question

question 19 of 25 what is the length of the diagonal of the square shown below? a. 5 b. 25 c. 5√2 d. 5√5 e. √5 f. √10

Explanation:

Step1: Apply Pythagorean theorem

In a square with side - length $a = 5$, if the diagonal is $d$, by the Pythagorean theorem $d^{2}=a^{2}+a^{2}$.
Since $a = 5$, then $d^{2}=5^{2}+5^{2}=25 + 25=50$.

Step2: Solve for the diagonal length

Take the square - root of both sides of the equation $d^{2}=50$. So $d=\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}$.

Answer:

C. $5\sqrt{2}$