find the length of the third side. if necessary, round to the nearest tenth.\nanswer attempt 1 out of…

find the length of the third side. if necessary, round to the nearest tenth.\nanswer attempt 1 out of 2\nsubmit answer

find the length of the third side. if necessary, round to the nearest tenth.\nanswer attempt 1 out of 2\nsubmit answer

Answer

Explanation:

Step1: Identify the theorem

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for a right - triangle. Let the two given sides be $a = 2$ and $c = 4$. We need to find $b$.

Step2: Rearrange the formula

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

Step3: Substitute values

$b=\sqrt{4^{2}-2^{2}}=\sqrt{16 - 4}=\sqrt{12}$.

Step4: Simplify and round

$\sqrt{12}\approx3.5$.

Answer:

$3.5$