Find the length of the third side. If necessary, write in simplistic radical form.

Answer:
7
Step-by-step explanation:
Just use the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex])
Let a be the missing side
[tex]a^{2}[/tex]= [tex]8^{2}[/tex]-[tex]\sqrt{15} ^{2}[/tex]
[tex]a^{2}[/tex]= [tex]64[/tex]-[tex]15[/tex]
[tex]a^{2}[/tex]= [tex]49[/tex]
Take the square root of each side
[tex]a[/tex]= [tex]\sqrt{49}[/tex]
[tex]a[/tex]= [tex]7[/tex]
So the missing side is 7.
Hope this helps! :)