Answer:
80
Step-by-step explanation:
Step #1 plug given values into the Pythagorean theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
a: side 1
b: side 2
c: the hypotenuse (side across from the right angle)
[tex]a^{2}[/tex]+[tex]18^{2}[/tex]=[tex]82^{2}[/tex]
[tex]a^{2}[/tex]+324=6724
Step #2 solve for a
[tex]a^{2}[/tex]=6724-324
[tex]a^{2}[/tex]=6400
a=[tex]\sqrt{6400}[/tex]
a=80
