Answer:
[tex]c=3\sqrt{13}[/tex]
Step-by-step explanation:
Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.
[tex]c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}[/tex]
