How do I find the length of the missing side for this right triangle?

Answer:
[tex]c = 5[/tex]
Step-by-step explanation:
You use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex].
Since we have the value of [tex]a = 3[/tex] and [tex]b = 4[/tex]..
Then we know that:
[tex]a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25 = c^2[/tex]
Since we know that [tex]c^2[/tex] is now, we take square root of that to get value of [tex]c[/tex].
[tex]\sqrt{c^2}=\sqrt{25}\\\\c = 5[/tex]