Answer:
Step-by-step explanation:
Let's use Pythagoras theorem
[tex]h^2 = c_1^2 + c_2^2[/tex]
We have [tex]\overline{AC}[/tex] and [tex]\overline{AB}[/tex] (which are, respectively, 2 and 3)
If we plug this into the Pythagoras theorem, we'll get
[tex]h^2 = \overline{AC}^2 + \overline{AB}^2\\h^2 = 2^2 + 3^2\\h^2 = 4 + 9 \\h = \sqrt{13}[/tex]
By plugging this value into a calculator, we get [tex]3.60555[/tex]
Since the question prompt asks us to round it to two decimal places, the exact answer is 3.61
.
Good luck!
