Respuesta :

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! :)