## Algebra 2 Common Core

$$10$$
Use the Pythagorean Theorem $$c^{2}=a^{2}+b^{2}$$ with $a=6$ and $b=8:$ $$c^{2}=6^{2}+8^{2}=36+64=100.$$ Take the square root of both sides $$c=\sqrt {100}=10.$$