Answer:
c = 13
Step-by-step explanation:
do the pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]
fill in what you know [tex]5^{2} + 12^{2} = c^{2}[/tex]
solve [tex]25 + 144 = c^{2}[/tex]
[tex]169 = c^{2}[/tex]
take the square root of both sides because you just want c [tex]\sqrt{169} = \sqrt{c^{2} }[/tex]
solve [tex]13 = c[/tex]
