Question

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

Explanation:

Step1: Identify the triangle type

It's a right - triangle, so use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a, b$ are the legs. Let the two given sides be $a = 2$ and $b = 3$. We need to find the hypotenuse $c$.

Step2: Apply the Pythagorean theorem

$c=\sqrt{a^{2}+b^{2}}=\sqrt{2^{2}+3^{2}}=\sqrt{4 + 9}=\sqrt{13}$.

Step3: Calculate the value and round

$\sqrt{13}\approx3.6$.

Answer:

$3.6$