determine whether number 12 has a tangent line shown in the diagram

SOLUTION:
Case: Tangent theorems
Method:
Tangent theorem's employed Pythagoras theorem:
|Hyp| = 10.6
[tex]\begin{gathered} |Hyp|^2=|Leg1|^2+|Leg2|^2 \\ 10.6^2=g^2+5.6^2 \\ 112.36=g^2+31.36 \\ g^2=112.36-31.36 \\ g^2=81 \\ g=\sqrt{81} \\ g=9 \end{gathered}[/tex]Final answer:
g = 9