Type the correct answer in the box. Round your answer to two decimal places.

Answer:
3.61 units
Step-by-step explanation:
AB = 3 units
AC = 2 units
Pythagoras theorem in euclidean geometry states that the sum of the squares of the base and height is equal to the square of the side which is opposite to the right angle (hypotenuse).
So,
[tex]BC^2=AC^2+AB^2\\\Rightarrow BC=\sqrt{AC^2+AB^2}\\\Rightarrow BC=\sqrt{2^2+3^2}\\\Rightarrow BC=\sqrt{13}[/tex]
[tex]\sqrt{13}=3.6055\\\Rightarrow \sqrt{13}=3.61[/tex]
BC = 3.61 units