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 formula

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for a right - triangle, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, let $a = 2$ and $b=3$, and we want to find the hypotenuse $c$.
$$c=\sqrt{a^{2}+b^{2}}$$

Step2: Substitute values

Substitute $a = 2$ and $b = 3$ into the formula.
$$c=\sqrt{2^{2}+3^{2}}=\sqrt{4 + 9}=\sqrt{13}$$

Step3: Calculate and round

$\sqrt{13}\approx3.6$

Answer:

$3.6$