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find the length of the third side. if necessary, round to the nearest t…

Question

find the length of the third side. if necessary, round to the nearest tenth. 10 6 answer attempt 2 out of 2 68 submit answer

Explanation:

Step1: Identify the theorem

Use Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here $c = 10$, $a = 6$, and we need to find $b$.

Step2: Rearrange the formula

$b=\sqrt{c^{2}-a^{2}}$.

Step3: Substitute values

$b=\sqrt{10^{2}-6^{2}}=\sqrt{100 - 36}=\sqrt{64}$.

Step4: Calculate the result

$\sqrt{64}=8$.

Answer:

8