Question

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

Answer 1

Case: Tangent theorems

Method:

Tangent theorem's employed Pythagoras theorem:

|Hyp| = 10.6

`\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=√(81) \\ g=9 \end{gathered}`

Final answer:

g = 9