what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = centimeters

Answer:

$3.6$

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 3$ and $b = 2$. So $c^{2}=3^{2}+2^{2}$.

Step2: Calculate the right - hand side

$3^{2}+2^{2}=9 + 4=13$. So $c^{2}=13$.

Step3: Solve for $c$

$c=\sqrt{13}\approx3.6$ (rounded to the nearest tenth).