Using the Pythagorean theorem we get:
[tex]y^2+8^2=12^2.[/tex]
Simplifying the above result we get:
[tex]y^2+64=144.[/tex]
Subtracting 64 from the above equation we get:
[tex]\begin{gathered} y^2+64-64=144-64, \\ y^2=80. \end{gathered}[/tex]
Therefore:
[tex]y=\sqrt{80}\approx8.9.[/tex]
Answer:
[tex]y=8.9.[/tex]
