Answer:
Explanation:
Let's use Pythagoras theorem
![h^2 = c_1^2 + c_2^2](https://img.qammunity.org/2021/formulas/mathematics/college/uakh1sqfq5qwq4di5ls4fwn0d2cek1wbd3.png)
We have
and
(which are, respectively, 2 and 3)
If we plug this into the Pythagoras theorem, we'll get
![h^2 = \overline{AC}^2 + \overline{AB}^2\\h^2 = 2^2 + 3^2\\h^2 = 4 + 9 \\h = √(13)](https://img.qammunity.org/2021/formulas/mathematics/college/1t92rr0vmlg4tztota4s95svoerzjh5gjd.png)
By plugging this value into a calculator, we get
![3.60555](https://img.qammunity.org/2021/formulas/mathematics/college/eja4mugrll3rjs9fxd3q8exag630om561m.png)
Since the question prompt asks us to round it to two decimal places, the exact answer is 3.61 .
Good luck!