Question

find the length of the third side. if necessary, write in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be $c$, the two legs are $a=8$, $b=8$. The theorem is $c=\sqrt{a^2+b^2}$.

Step2: Substitute values into formula

$c=\sqrt{8^2+8^2}=\sqrt{64+64}$

Step3: Simplify the expression

$c=\sqrt{128}=\sqrt{64\times2}=8\sqrt{2}$

Answer:

$8\sqrt{2}$