You must use Pythagorean theorem, which is [tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are both legs (the two legs are the sides that form a perpendicular right angle) while c is the hypotenuse (side opposite the right angle)
In this case...
a = y
b = 8
c = 12
^^^Plug these numbers into Pythagorean theorem
[tex]y^{2} +8^{2} =12^{2}[/tex]
Simplify as much as possible
[tex]y^{2}[/tex] + 64 = 144
Isolate y by subtracting 64 to both sides
[tex]y^{2}[/tex] + (64 - 64) = 144 - 64
[tex]y^{2}[/tex] = 80
Further isolate y by taking the square root of both sides. This will take away the square from the left side
y = [tex]\sqrt{80}[/tex]
[tex]\sqrt{80}[/tex] <<< Can be further simplified
4√5 = y
Hope this helped!
~Just a girl in love with Shawn Mendes
