Question

find the length of the third side. if necessary, write in simplest radical form.
answer attempt 1 out of 4
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Explanation:

Step1: Identify Pythagorean theorem

For a right triangle with legs $a, b$ and hypotenuse $c$, $c=\sqrt{a^2+b^2}$

Step2: Substitute values $a=8, b=8$

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

Step3: Simplify the expression

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

Answer:

$8\sqrt{2}$