Solve the unknown side using the Pythagorean theorem. Make sure you don’t answer any spaces in the answers.

Given:
A right angle triangle is given as below
Find:
we have to find unknown side i.e. AB.
Explanation:
we know By Pythagorean theorem,
[tex]\begin{gathered} (AB)^2=(BC)^2+(AC)^2 \\ c^2=10^2+10^2 \\ c^2=10^2(1+1) \\ c^2=10^2(2) \\ c=10\sqrt{2} \\ c=14.14 \end{gathered}[/tex]Therefore, the side AB = c = 14.14 ( by rounded to nearest hundredth)