Question

Rom the diagram below, if the measure of < C = 30 °, and side BC = 8, then side AB = _____.

Answer 1

For the 30° - 60° right triangle, we have:

Then, if BC = 8 = √(3) k:

`\begin{gathered} 8=√(3)k \\ \\ k=(8)/(√(3)) \\ \\ \Rightarrow k=(8√(3))/(3) \end{gathered}`

From the figure:

`\begin{gathered} AB=k \\ \\ \therefore AB=(8√(3))/(3) \end{gathered}`